The structure of algebraic varieties
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper discusses the structure of algebraic varieties, focusing on minimal models and moduli spaces, providing insights into their classification and properties.
Contribution
It offers a comprehensive overview of the current understanding of minimal models and moduli of algebraic varieties, highlighting recent advances.
Findings
Development of minimal model program
Classification results for algebraic varieties
Insights into moduli space structures
Abstract
ICM lecture on minimal models and moduli of varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation