NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE?DELIGNE NUMBERS

NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE?DELIGNE NUMBERS
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牛顿多面体和霍奇德利格数计算算法

DOI:
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发表时间:
1987
期刊:
影响因子:
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通讯作者:
V. Voskresenski
V. Voskresenski
中科院分区:
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文献类型:
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作者:
V. Danilov;A. Klyachko;G. A. Mustafin;Abelian Varieties;S. G. Tankeev;A. Aleksandrov;A. Tyurin;Projective Invariant Demazure;V. Voskresenski

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给出了一个计算复曲面簇中完全交的上同调的混合Hodge结构(更准确地说是Hodge-Deligne数)的算法,该算法是根据指定完全交的Newton多面体来计算的.在某些特殊情况下,该算法导致显式公式。参考书目:8种。
An algorithm is given for computing the mixed Hodge structure (more precisely, the Hodge–Deligne numbers) for cohomology of complete intersections in toric varieties in terms of Newton polyhedra specifying the complete intersection. In some particular cases the algorithm leads to explicit formulas. Bibliography: 8 titles.