Thesis

### Some problems in algebraic geometry

Abstract:

Let X be a protective non-singular algebraic variety over an algebraically closed field k. Let f: X ⟶ X be an endomorphism of X and let F be a locally free sheaf on X. Then the vector spaces Hq [X;F] are known to be of finite rank and to be zero except for finitely many integers q. Let Φ: f*F → F be a morphism of sheaves. Then endomorphisms, eq, of each Hq [X;F] may ...

Peer review status:
Peer reviewed

Files:
• (pdf, 3.9MB)

### Authors

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Department:
University of Oxford
Role:
Author
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Source identifiers:
601870637
UUID:
uuid:a7757350-cc77-47a0-a6d1-dd05c49cc88d
Local pid:
polonsky:11:32
Deposit date:
2017-10-05