THE GEOMETRY OF TORIC VARIETIES
THE GEOMETRY OF TORIC VARIETIES
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DOI：
10.1070/rm1978v033n02abeh002305
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发表时间：
1978-04
影响因子：
0.9
通讯作者：
V. Danilov
中科院分区：
文献类型：
--
作者：
V. Danilov
第一章.仿射复曲面变种§ 1。锥、格和半群§ 2。仿射复曲面簇的定义§ 3。Toric Varieties的特性§ 4。第二章复曲面上的微分形式。一般toric品种§ 5。粉丝和他们相关的toric品种§ 6。线性系统§ 7.可逆层的上同调§ 8。奇异性的解析§ 9.第三章基本组.交叉理论§ 10.第11章. Riemann-Roch定理§ 12.第四章.分析理论13 Toroidal varieties § 14.准光滑变种§ 15.带对数极点的微分形式附录1.深度和局部共同源性附录2.外部代数附录3.差异参考
ContentsIntroductionChapter I. Affine toric varieties § 1. Cones, lattices, and semigroups § 2. The definition of an affine toric variety § 3. Properties of toric varieties § 4. Differential forms on toric varietiesChapter II. General toric varieties § 5. Fans and their associated toric varieties § 6. Linear systems § 7. The cohomology of invertible sheaves § 8. Resolution of singularities § 9. The fundamental groupChapter III. Intersection theory § 10. The Chow ring § 11. The Riemann-Roch theorem § 12. Complex cohomologyChapter IV. The analytic theory § 13. Toroidal varieties § 14. Quasi-smooth varieties § 15. Differential forms with logarithmic polesAppendix 1. Depth and local cohomologyAppendix 2. The exterior algebraAppendix 3. DifferentialsReferences