摘要翻译：
环面多面体是环面作用轨道的部分并集的环面变体的约化闭子格式。我们证明了多面多面体的消失定理。我们还证明了在任意特征条件下Hodge到de Rham型谱序列的$E1$-退化。最后，我们给出了一个非常强大的丰满线丛的扩张定理。
---
英文标题：
《Vanishing theorems for toric polyhedra》
---
作者：
Osamu Fujino
---
最新提交年份：
2008
---
分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
--

---
英文摘要：
  A toric polyhedron is a reduced closed subscheme of a toric variety that are partial unions of the orbits of the torus action. We prove vanishing theorems for toric polyhedra. We also give a proof of the $E_1$-degeneration of Hodge to de Rham type spectral sequence for toric polyhedra in any characteristic. Finally, we give a very powerful extension theorem for ample line bundles.
---
PDF链接：
https://arxiv.org/pdf/0707.3178