Derived Categories and Birational Geometry
Yujiro Kawamata
TL;DR
This survey explores the role of derived categories in understanding birational geometry, highlighting recent developments and open problems in the field.
Contribution
It provides a comprehensive overview of how derived categories are applied to birational geometry, summarizing key results and future directions.
Findings
Derived categories encode birational invariants.
Connections between derived categories and minimal model program.
Open problems in derived categories and birational transformations.
Abstract
A survey article for AMS Summer Institute at Seattle in 2005.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications