What determines an algebraic variety?

"In this monograph, the authors approach a rarely considered question in the field of algebraic geometry: to what extent is an algebraic variety X determined by the underlying Zariski topological space |X|? Before this work, it was believed that the Zariski topology could give only coarse infor...

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Bibliographic Details
Main Authors: Kollár, János, Lieblich, Max (Author), Olsson, Martin C. (Author), Sawin, Will (Author)
Format: eBook
Language:English
Published: Princeton Princeton University Press 2023, 2023©2023
Series:Annals of mathematics studies
Subjects:
Online Access:
Collection: JSTOR Books - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references and indexes
  • The fundamental theorem of projective geometry
  • Divisorial structures and definable linear systems
  • Reconstruction from divisorial structures: infinite fields
  • Reconstruction from divisorial structures: finite fields
  • Topological geometry
  • The set-theoretic complete intersection property
  • Linkage
  • Complements, counterexamples, and conjectures