The Hodge Numbers of Divisors of Calabi‐Yau Threefold Hypersurfaces
The Hodge Numbers of Divisors of Calabi‐Yau Threefold Hypersurfaces
复制标题
卡拉比丘三重超曲面因数的霍奇数
DOI：
10.1002/prop.202000087
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Sung, Benjamin
中科院分区：
文献类型：
--
作者：
Braun, Andreas P.;Long, Cody;McAllister, Liam;Stillman, Michael;Sung, Benjamin
我们证明了复曲面簇中Calabi-Yau三重超曲面的无平方因子的Hodge数的一个公式。欧几里得膜包裹因子影响了IIB型弦理论、M理论和F理论的卡拉比-丘紧化的真空结构。确定除数D上的欧几里德膜的非微扰耦合需要计算费米子零模，这取决于霍奇数。设X是复曲面V中的光滑Calabi-Yau三重超曲面，设D是V的无平方因子对X的限制。我们给出了一个公式的组合数据。此外，我们构造了一个CW复形，使得。我们描述了一个有效的算法，使可能的第一次计算层上同调，这样的因子largeh 1，1。作为一个例子，我们计算一类因子的Hodge数在一个三倍。我们的结果是一个系统的计算在Calabi-Yau超曲面的欧几里德膜超势的一步。
We prove a formula for the Hodge numbers of square‐free divisors of Calabi‐Yau threefold hypersurfaces in toric varieties. Euclidean branes wrapping divisors affect the vacuum structure of Calabi‐Yau compactifications of type IIB string theory, M‐theory, and F‐theory. Determining the nonperturbative couplings due to Euclidean branes on a divisorDrequires counting fermion zero modes, which depend on the Hodge numbers . Suppose thatXis a smooth Calabi‐Yau threefold hypersurface in a toric varietyV, and letDbe the restriction toXof a square‐free divisor ofV. We give a formula for in terms of combinatorial data. Moreover, we construct a CW complex such that . We describe an efficient algorithm that makes possible for the first time the computation of sheaf cohomology for such divisors at largeh1, 1. As an illustration we compute the Hodge numbers of a class of divisors in a threefold with . Our results are a step toward a systematic computation of Euclidean brane superpotentials in Calabi‐Yau hypersurfaces.
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线丛的上同调：一种计算算法
DOI：
--
发表时间：
2010
期刊：
影响因子：
--
作者：
R. Blumenhagen;Benjamin Jurke;Thorsten Rahn;Helmut Roschy
通讯作者：
Helmut Roschy
影响因子：
5.4
作者：
J. Adam;D. Adamová;M. Aggarwal;G. Aglieri Rinella;M. Agnello;N. Agrawal;Z. Ahammed;S. Ahmad;S. Ahn;S. Aiola;A. Akindinov;S. Alam;D. Albuquerque;D. Aleksandrov;B. Alessandro;D. Alexandre;R. Alfaro Molina;A. Alici;A. Alkin;J. R. M. Almaraz;J. Alme;T. Alt;S. Altinpinar;I. Altsybeev;C. Alves Garcia Prado;C. Andrei;A. Andronic;V. Anguelov;T. Antičić;F. Antinori;P. Antonioli;L. Aphecetche;H. Appelshäuser;S. Arcelli;R. Arnaldi;O. Arnold;I. Arsene;M. Arslandok;B. Audurier;A. Augustinus;R. Averbeck;M. D. Azmi;A. Badalà;Y. Baek;S. Bagnasco;R. Bailhache;R. Bala;S. Balasubramanian;A. Baldisseri;R. C. Baral;A. Barbano;R. Barbera;F. Barile;G. G. Barnaföldi-G.;L. Barnby;V. Barret;P. Bartalini;K. Barth;J. Bartke;E. Bartsch;M. Basile;N. Bastid;S. Basu;B. Bathen;G. Batigne;A. Batista Camejo;B. Batyunya;P. Batzing;I. Bearden;H. Beck;C. Bedda;N. Behera;I. Belikov;F. Bellini;H. Bello Martinez;R. Bellwied;R. Belmont;E. Belmont-Moreno;V. Belyaev;G. Bencédi;S. Beole;I. Berceanu;A. Bercuci;Y. Berdnikov;D. Berényi;R. Bertens;D. Berzano;L. Betev;A. Bhasin;I. R. Bhat;A. Bhati;B. Bhattacharjee;J. Bhom;L. Bianchi;N. Bianchi;C. Bianchin;J. Bielcik;J. Bielčíková;A. Bilandzic;G. Bíró;R. Biswas;S. Biswas;S. Bjelogrlić;J. Blair;D. Blau;C. Blume;F. Bock;A. Bogdanov;H. Boggild;L. Boldizsár;M. Bombara;J. Book;H. Borel;A. Borissov;M. Borri;F. Bossu;E. Botta;C. Bourjau;P. Braun-Munzinger;M. Bregant;T. Breitner;T. A. Broker;T. Browning;M. Broz;E. Brucken;E. Bruna;G. Bruno;D. Budnikov;H. Buesching;S. Bufalino;P. Buncic;O. Busch;Z. Buthelezi;J. Butt;J. Buxton;J. Čabala;D. Caffarri;X. Cai;H. Caines;L. Calero Diaz;A. Caliva;E. Calvo Villar;P. Camerini;F. Carena;W. Carena;F. Carnesecchi;J. Castillo Castellanos;A. Castro;E. Casula;C. Ceballos Sanchez;J. Čepila;P. Cerello;J. Cerkala;B. Chang;S. Chapeland;M. Chartier;J. Charvet;S. Chattopadhyay;A. Chauvin;V. Chelnokov;M. Cherney;C. Cheshkov;B. Cheynis;V. Chibante Barroso;D. Chinellato;S. Cho;P. Chochula;K. Choi;M. Chojnacki;S. Choudhury;P. Christakoglou;C. H. Christensen;P. Christiansen;T. Chujo;S. Chung;C. Cicalò;L. Cifarelli;F. Cindolo;J. Cleymans;F. Colamaria;D. Colella;A. Collu;M. Colocci;G. Conesa Balbastre;Z. Conesa del Valle;M. Connors;J. G. Contreras;T. Cormier;Y. Corrales Morales;I. Cortés Maldonado;P. Cortese;M. R. Cosentino;F. Costa;P. Crochet;R. Cruz Albino;E. Cuautle;L. Cunqueiro;T. Dahms;A. Dainese;M. C. Danisch;A. Danu;D. Das;I. Das;S. Das;A. Dash;S. Dash;S. De;A. Caro;G. Cataldo;C. Conti;J. Cuveland;A. Falco;D. Gruttola;N. Marco;S. Pasquale;A. Deisting;A. Deloff;E. Denes;C. Deplano;P. Dhankher;D. Bari;A. Mauro;P. Nezza;M. A. Diaz Corchero;T. Dietel;P. Dillenseger;R. Divià;Ø. Djuvsland;A. Dobrin;D. Domenicis Gimenez;B. Dönigus;O. Dordic;T. Drozhzhova;A. Dubey;A. Dubla;L. Ducroux;P. Dupieux;R. Ehlers;D. Elia;E. Endress;H. Engel;E. Epple;B. Erazmus;I. Erdemir;F. Erhardt;B. Espagnon;M. Estienne;S. Esumi;J. Eum;D. Evans;S. Evdokimov;G. Eyyubova;L. Fabbietti;D. Fabris;J. Faivre;A. Fantoni;M. Fasel;L. Feldkamp;A. Feliciello;G. Feofilov;J. Ferencei;A. Fernàndez Tèllez;E. Ferreiro;A. Ferretti;A. Festanti;V. Feuillard;J. Figiel;M. Figueredo;S. Filchagin;D. Finogeev;F. Fionda;E. Fiore;M. Fleck;M. Floris;S. Foertsch;P. Foka;S. Fokin;E. Fragiacomo;A. Francescon;U. Frankenfeld;G. Fronzé;U. Fuchs;C. Furget;A. Furs;M. Fusco Girard;J. Gaardhøje;M. Gagliardi;A. Gago;M. Gallio;D. Gangadharan;P. Ganoti;C. Gao;C. Garabatos;E. Garcia-Solis;C. Gargiulo;P. Gasik;E. Gauger;M. Germain;M. Gheata;P. Ghosh;S. Ghosh;P. Gianotti;P. Giubellino;P. Giubilato;E. Gladysz-dziadus;P. Glässel;D. M. Goméz Coral;A. Gómez Ramírez;A. S. Gonzalez;V. Gonzalez;P. GONZÁLEZ-ZAMORA;S. Gorbunov;L. Görlich;S. Gotovac;V. Grabski;Oleg A Grachov;L. Graczykowski;K. Graham;A. Grelli;A. Grigoras;C. Grigoras;V. Grigoriev;A. Grigoryan;S. Grigoryan;B. Grinyov;N. Grion;J. Gronefeld;J. Grosse-Oetringhaus;R. Grosso;F. Guber;R. Guernane;B. Guerzoni;K. Gulbrandsen;T. Gunji;A. Gupta;R. Gupta;R. Haake;Ø. Haaland;C. Hadjidakis;M. Haiduc;H. Hamagaki;G. Hamar;J. Hamon;J. Harris;A. Harton;D. Hatzifotiadou;S. Hayashi;S. Heckel;E. Hellbär;H. Helstrup;A. Herghelegiu;G. Herrera Corral;B. Hess;K. Hetland;H. Hillemanns;B. Hippolyte;D. Hořák;R. Hosokawa;P. Hristov;T. Humanic;N. Hussain;T. Hussain;D. Hutter;D. Hwang;R. Ilkaev;M. Inaba;E. Incani;M. Ippolitov;M. Irfan;M. Ivanov;V. Ivanov;V. Izucheev;N. Jacazio;P. Jacobs;M. Jadhav;S. Jadlovska;J. Jadlovský;C. Jahnke;M. Jakubowska;H. Jang;M. Janik;P. Jayarathna;C. Jena;S. Jena;R. T. Jimenez Bustamante;P. Jones;A. Jusko;P. Kalinak;A. Kalweit;J. Kamin;J. Kang;V. Kaplin;S. Kar;A. Karasu Uysal;O. Karavichev;T. Karavicheva;L. Karayan;E. Karpechev;U. Kebschull;R. Keidel;D. Keijdener;M. Keil;M. Mohisin Khan;P. Khan;S. Khan;A. Khanzadeev;Y. Kharlov;B. Kileng;D. Kim;D. Kim;D. Kim;H. Kim;J. Kim;M. Kim;S. Kim;T. Kim;S. Kirsch;I. Kisel;S. Kiselev;A. Kisiel;G. Kiss;J. Klay;C. Klein;J. Klein;C. Klein-Bösing;S. Klewin;A. Kluge;M. L. Knichel;A. Knospe;C. Kobdaj;M. Kofarago;T. Kollegger;A. Kolojvari;V. Kondratiev;N. Kondratyeva;E. Kondratyuk;A. Konevskikh;M. Kopcik;P. Kostarakis;M. Kour;C. Kouzinopoulos;O. Kovalenko;V. Kovalenko;M. Kowalski;G. Koyithatta Meethaleveedu;I. Králik;A. Kravčáková;M. Krivda;F. Krizek;E. Kryshen;M. Krzewicki;A. Kubera;V. Kučera;C. Kuhn;P. Kuijer;A. Kumar;J. Kumar;L. Kumar;S. Kumar;P. Kurashvili;A. Kurepin;A. Kurepin;A. Kuryakin;M. Kweon;Y. Kwon;S. L. Pointe;P. Rocca;P. Ladrón de Guevara;C. Lagana Fernandes;I. Lakomov;R. Langoy;K. Lapidus;C. Lara;A. Lardeux;A. Lattuca;E. Laudi;R. Lea;L. Leardini;G. Lee;S. Lee;F. Lehas;S. Lehner;R. Lemmon;V. Lenti;E. Leogrande;I. León Monzón;H. León Vargas;M. Leoncino;P. Lévai;S. Li;X. Li;J. Lien;R. Lietava;S. Lindal;V. Lindenstruth;C. Lippmann;M. Lisa;H. Ljunggren;D. F. Lodato;P. Loenne
通讯作者：
J. Adam;D. Adamová;M. Aggarwal;G. Aglieri Rinella;M. Agnello;N. Agrawal;Z. Ahammed;S. Ahmad;S. Ahn;S. Aiola;A. Akindinov;S. Alam;D. Albuquerque;D. Aleksandrov;B. Alessandro;D. Alexandre;R. Alfaro Molina;A. Alici;A. Alkin;J. R. M. Almaraz;J. Alme;T. Alt;S. Altinpinar;I. Altsybeev;C. Alves Garcia Prado;C. Andrei;A. Andronic;V. Anguelov;T. Antičić;F. Antinori;P. Antonioli;L. Aphecetche;H. Appelshäuser;S. Arcelli;R. Arnaldi;O. Arnold;I. Arsene;M. Arslandok;B. Audurier;A. Augustinus;R. Averbeck;M. D. Azmi;A. Badalà;Y. Baek;S. Bagnasco;R. Bailhache;R. Bala;S. Balasubramanian;A. Baldisseri;R. C. Baral;A. Barbano;R. Barbera;F. Barile;G. G. Barnaföldi-G.;L. Barnby;V. Barret;P. Bartalini;K. Barth;J. Bartke;E. Bartsch;M. Basile;N. Bastid;S. Basu;B. Bathen;G. Batigne;A. Batista Camejo;B. Batyunya;P. Batzing;I. Bearden;H. Beck;C. Bedda;N. Behera;I. Belikov;F. Bellini;H. Bello Martinez;R. Bellwied;R. Belmont;E. Belmont-Moreno;V. Belyaev;G. Bencédi;S. Beole;I. Berceanu;A. Bercuci;Y. Berdnikov;D. Berényi;R. Bertens;D. Berzano;L. Betev;A. Bhasin;I. R. Bhat;A. Bhati;B. Bhattacharjee;J. Bhom;L. Bianchi;N. Bianchi;C. Bianchin;J. Bielcik;J. Bielčíková;A. Bilandzic;G. Bíró;R. Biswas;S. Biswas;S. Bjelogrlić;J. Blair;D. Blau;C. Blume;F. Bock;A. Bogdanov;H. Boggild;L. Boldizsár;M. Bombara;J. Book;H. Borel;A. Borissov;M. Borri;F. Bossu;E. Botta;C. Bourjau;P. Braun-Munzinger;M. Bregant;T. Breitner;T. A. Broker;T. Browning;M. Broz;E. Brucken;E. Bruna;G. Bruno;D. Budnikov;H. Buesching;S. Bufalino;P. Buncic;O. Busch;Z. Buthelezi;J. Butt;J. Buxton;J. Čabala;D. Caffarri;X. Cai;H. Caines;L. Calero Diaz;A. Caliva;E. Calvo Villar;P. Camerini;F. Carena;W. Carena;F. Carnesecchi;J. Castillo Castellanos;A. Castro;E. Casula;C. Ceballos Sanchez;J. Čepila;P. Cerello;J. Cerkala;B. Chang;S. Chapeland;M. Chartier;J. Charvet;S. Chattopadhyay;A. Chauvin;V. Chelnokov;M. Cherney;C. Cheshkov;B. Cheynis;V. Chibante Barroso;D. Chinellato;S. Cho;P. Chochula;K. Choi;M. Chojnacki;S. Choudhury;P. Christakoglou;C. H. Christensen;P. Christiansen;T. Chujo;S. Chung;C. Cicalò;L. Cifarelli;F. Cindolo;J. Cleymans;F. Colamaria;D. Colella;A. Collu;M. Colocci;G. Conesa Balbastre;Z. Conesa del Valle;M. Connors;J. G. Contreras;T. Cormier;Y. Corrales Morales;I. Cortés Maldonado;P. Cortese;M. R. Cosentino;F. Costa;P. Crochet;R. Cruz Albino;E. Cuautle;L. Cunqueiro;T. Dahms;A. Dainese;M. C. Danisch;A. Danu;D. Das;I. Das;S. Das;A. Dash;S. Dash;S. De;A. Caro;G. Cataldo;C. Conti;J. Cuveland;A. Falco;D. Gruttola;N. Marco;S. Pasquale;A. Deisting;A. Deloff;E. Denes;C. Deplano;P. Dhankher;D. Bari;A. Mauro;P. Nezza;M. A. Diaz Corchero;T. Dietel;P. Dillenseger;R. Divià;Ø. Djuvsland;A. Dobrin;D. Domenicis Gimenez;B. Dönigus;O. Dordic;T. Drozhzhova;A. Dubey;A. Dubla;L. Ducroux;P. Dupieux;R. Ehlers;D. Elia;E. Endress;H. Engel;E. Epple;B. Erazmus;I. Erdemir;F. Erhardt;B. Espagnon;M. Estienne;S. Esumi;J. Eum;D. Evans;S. Evdokimov;G. Eyyubova;L. Fabbietti;D. Fabris;J. Faivre;A. Fantoni;M. Fasel;L. Feldkamp;A. Feliciello;G. Feofilov;J. Ferencei;A. Fernàndez Tèllez;E. Ferreiro;A. Ferretti;A. Festanti;V. Feuillard;J. Figiel;M. Figueredo;S. Filchagin;D. Finogeev;F. Fionda;E. Fiore;M. Fleck;M. Floris;S. Foertsch;P. Foka;S. Fokin;E. Fragiacomo;A. Francescon;U. Frankenfeld;G. Fronzé;U. Fuchs;C. Furget;A. Furs;M. Fusco Girard;J. Gaardhøje;M. Gagliardi;A. Gago;M. Gallio;D. Gangadharan;P. Ganoti;C. Gao;C. Garabatos;E. Garcia-Solis;C. Gargiulo;P. Gasik;E. Gauger;M. Germain;M. Gheata;P. Ghosh;S. Ghosh;P. Gianotti;P. Giubellino;P. Giubilato;E. Gladysz-dziadus;P. Glässel;D. M. Goméz Coral;A. Gómez Ramírez;A. S. Gonzalez;V. Gonzalez;P. GONZÁLEZ-ZAMORA;S. Gorbunov;L. Görlich;S. Gotovac;V. Grabski;Oleg A Grachov;L. Graczykowski;K. Graham;A. Grelli;A. Grigoras;C. Grigoras;V. Grigoriev;A. Grigoryan;S. Grigoryan;B. Grinyov;N. Grion;J. Gronefeld;J. Grosse-Oetringhaus;R. Grosso;F. Guber;R. Guernane;B. Guerzoni;K. Gulbrandsen;T. Gunji;A. Gupta;R. Gupta;R. Haake;Ø. Haaland;C. Hadjidakis;M. Haiduc;H. Hamagaki;G. Hamar;J. Hamon;J. Harris;A. Harton;D. Hatzifotiadou;S. Hayashi;S. Heckel;E. Hellbär;H. Helstrup;A. Herghelegiu;G. Herrera Corral;B. Hess;K. Hetland;H. Hillemanns;B. Hippolyte;D. Hořák;R. Hosokawa;P. Hristov;T. Humanic;N. Hussain;T. Hussain;D. Hutter;D. Hwang;R. Ilkaev;M. Inaba;E. Incani;M. Ippolitov;M. Irfan;M. Ivanov;V. Ivanov;V. Izucheev;N. Jacazio;P. Jacobs;M. Jadhav;S. Jadlovska;J. Jadlovský;C. Jahnke;M. Jakubowska;H. Jang;M. Janik;P. Jayarathna;C. Jena;S. Jena;R. T. Jimenez Bustamante;P. Jones;A. Jusko;P. Kalinak;A. Kalweit;J. Kamin;J. Kang;V. Kaplin;S. Kar;A. Karasu Uysal;O. Karavichev;T. Karavicheva;L. Karayan;E. Karpechev;U. Kebschull;R. Keidel;D. Keijdener;M. Keil;M. Mohisin Khan;P. Khan;S. Khan;A. Khanzadeev;Y. Kharlov;B. Kileng;D. Kim;D. Kim;D. Kim;H. Kim;J. Kim;M. Kim;S. Kim;T. Kim;S. Kirsch;I. Kisel;S. Kiselev;A. Kisiel;G. Kiss;J. Klay;C. Klein;J. Klein;C. Klein-Bösing;S. Klewin;A. Kluge;M. L. Knichel;A. Knospe;C. Kobdaj;M. Kofarago;T. Kollegger;A. Kolojvari;V. Kondratiev;N. Kondratyeva;E. Kondratyuk;A. Konevskikh;M. Kopcik;P. Kostarakis;M. Kour;C. Kouzinopoulos;O. Kovalenko;V. Kovalenko;M. Kowalski;G. Koyithatta Meethaleveedu;I. Králik;A. Kravčáková;M. Krivda;F. Krizek;E. Kryshen;M. Krzewicki;A. Kubera;V. Kučera;C. Kuhn;P. Kuijer;A. Kumar;J. Kumar;L. Kumar;S. Kumar;P. Kurashvili;A. Kurepin;A. Kurepin;A. Kuryakin;M. Kweon;Y. Kwon;S. L. Pointe;P. Rocca;P. Ladrón de Guevara;C. Lagana Fernandes;I. Lakomov;R. Langoy;K. Lapidus;C. Lara;A. Lardeux;A. Lattuca;E. Laudi;R. Lea;L. Leardini;G. Lee;S. Lee;F. Lehas;S. Lehner;R. Lemmon;V. Lenti;E. Leogrande;I. León Monzón;H. León Vargas;M. Leoncino;P. Lévai;S. Li;X. Li;J. Lien;R. Lietava;S. Lindal;V. Lindenstruth;C. Lippmann;M. Lisa;H. Ljunggren;D. F. Lodato;P. Loenne
卡拉比-丘四重体上的三型周期：复曲面超曲面和 F 理论应用
影响因子：
5.4
作者：
S. Greiner;Thomas W. Grimm
通讯作者：
Thomas W. Grimm
简单法线交除数及其对偶复形的上同调及其在孤立奇点上的应用
DOI：
--
发表时间：
2008
期刊：
影响因子：
--
作者：
Parsa Bakhtary
通讯作者：
Parsa Bakhtary
森极限
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
A. Clingher;R. Donagi;M. Wijnholt
通讯作者：
M. Wijnholt