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What Determines an Algebraic Variety?

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Author(s): János Kollár, Max Lieblich, Martin Olsson, Will Sawin
Series: Annals of Mathematics Studies 216
Publisher: Princeton University Press
Year: 2023

Language: English
Pages: 226
Tags: algebraic geometry; algebraic variety

Contents
Preface
Acknowledgments
1. Introduction
2. Preliminaries
3. The fundamental theorem of projective geometry
4. Divisorial structures and definable linear systems
5. Reconstruction from divisorial structures: infinite fields
6. Reconstruction from divisorial structures: finite fields
7. Topological geometry
8. The set-theoretic complete intersection property
9. Linkage
10. Complements, counterexamples, and conjectures
11. Appendix
Bibliography
Index of Notation
Index of Terminology