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math.AGJun 26, 2015
5
citations (OpenAlex)
authors
  • Brendan Hassett
  • Yuri Tschinkel
institutions
  • Brown University
  • New York University
  • Rice University
arXiv abstractPDF
paper

Extremal rays and automorphisms of holomorphic symplectic varieties

arXiv:1506.08153

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.

arXiv comment24 pages

References in corpus (7)

  • A survey of Torelli and monodromy results for holomorphic-symplectic varieties
  • Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
  • A global Torelli theorem for hyperkahler manifolds
  • Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface
  • Transcendental obstructions to weak approximation on general K3 surfaces
  • Some aspects of explicit birational geometry inspired by complex dynamics
  • Brauer groups on K3 surfaces and arithmetic applications

Cited by in corpus (1)

  • Nef divisors for moduli spaces of complexes with compact support
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