Multiplication maps and vanishing theorems for Toric varieties

By O. Fujino. 2006

59 citations recorded by the source corpus.

We use multiplication maps to give a characteristic-free approach to vanishing theorems on toric varieties. Our approach is very elementary but is enough powerful to prove vanishing theorems.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3d6e8a94cfee0e53b7b2d7c74b080d751d75829e

How researchers see this paper

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In Algebra and Number Theory

1. O. Fujino

In Computational Theory and Mathematics

1. O. Fujino
2. C. Birkar
3. F. Catanese
4. Ingrid Bauer

In Geometry and Topology

1. O. Fujino
2. Christopher D. Hacon
3. C. Birkar
4. Chenyang Xu
5. Stefano Filipazzi
6. F. Catanese
7. Ingrid Bauer
8. Shin-ichi Matsumura

Citations in the corpus

• A TRANSCENDENTAL APPROACH TO KOLL AR'S INJECTIVITY THEOREM II (2007, background): “llow from the main theorem: Theorem 1.1. The proofs of Corollary 1.6 and Corollary 1.7 explain one of the reasons why we think that injectivity theorems are generalizations of vanishing theorems (cf. [F3], [F4]) and that the formulation of Theorem 1.1 is useful for various applications. Corollary 1.”