The vanishing tag has no usage guidance.

**8**

votes

**1**answer

464 views

### Vanishing theorems in positive characteristic

In the paper
Deligne, Pierre; Illusie, Luc (1987), "Relèvements modulo $p^{2}$ et décomposition du complexe de De Rham", Inventiones Mathematicae 89 (2): 247–270, doi:10.1007/BF01389078
I found the ...

**6**

votes

**2**answers

618 views

### English reference for the Grauert–Riemenschneider vanishing theorem

What is the best reference in English for the following theorem of Grauert–Riemenschneider:
Theorem:
Let $\phi:X \to Y$ be a proper bi-rational morphism of algebraic varieties over characteristic ...

**2**

votes

**0**answers

146 views

### vanishing theorem for Nakano k-positive vector bundles ?

Hi,
The Nakano vanishing theorem for vector bundles says apparently the following:
Let $X$ be a compact kähler manifold of dimension $n$, and $E$ an hermitian holomorphic vector bundle. If $E$ if ...