Weakly Positive Sheaves and Vanishing Theorems
As indicated in the introduction and in 1.22, positivity properties of direct image sheaves will play a prominent role in the construction of moduli schemes. In this paragraph we will define numerically effective and weakly positive sheaves. In order to prove some of their properties we will use covering constructions, a tool which will reappear in different parts of this book.
KeywordsGlobal Section Coherent Sheave Coherent Sheaf Finite Covering Free Sheaf
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