Lectures on Vanishing Theorems

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Kodaira’s vanishing theorem, a general discussion
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   Chapter 3 Logarithmic de Rham complexes
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   Chapter 4 Integral parts of Q-divisors and coverings
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   Chapter 5 Vanishing theorems, the formal set-up
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   Chapter 6 Vanishing theorems for invertible sheaves
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   Chapter 7 Differential forms and higher direct images
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   Chapter 8 Some applications of vanishing theorems
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    Chapter 9 Characteristic p methods: Lifting of schemes
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    Chapter 10 The Frobenius and its liftings
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    Chapter 11 The proof of Deligne and Illusie [12]
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    Chapter 12 Vanishing theorems in characteristic p
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    Chapter 13 Deformation theory for cohomology groups
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    Chapter 14 Generic vanishing theorems [26], [14]