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Lectures on Vanishing Theorems Book Free Download

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Lectures on Vanishing Theorems
He ́le`ne Esnault,
Eckart Viehweg

Table of Contents

1 Kodaira’s vanishing theorem, a general discussion

2 Logarithmic de Rham complexes

3 Integral parts of Q-divisors and coverings

4 Vanishing theorems, the formal set-up

5 Vanishing theorems for invertible sheaves

6 Differential forms and higher direct images

7 Some applications of vanishing theorems

8 Characteristic p methods: Lifting of schemes

9 The Frobenius and its liftings

10 The proof of Deligne and Illusie

11 Vanishing theorems in characteristic p

12 Deformation theory for cohomology groups

13 Generic vanishing theorems

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