Extremal rays and automorphisms of holomorphic symplectic varieties
Brendan Hassett, Yuri Tschinkel
TL;DR
This paper surveys recent advances in understanding the ample cones and birational contractions of holomorphic symplectic varieties of K3 type, emphasizing explicit constructions and concrete examples.
Contribution
It provides a comprehensive overview of recent results, highlighting explicit constructions and concrete examples in the study of holomorphic symplectic varieties.
Findings
Characterization of ample cones in K3 type varieties
Explicit examples of birational contractions
Connections between extremal rays and automorphisms
Abstract
We survey recent results on ample cones and birational contractions of holomorphic symplectic varieties of K3 type, focusing on explicit constructions and concrete examples.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry