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math.AGApr 1, 2010
7
citations (OpenAlex)
authors
  • Brendan Hassett
  • Yuri Tschinkel
institutions
  • Rice University
arXiv abstractPDF
paper

Hodge theory and Lagrangian planes on generalized Kummer fourfolds

arXiv:1004.0046

Abstract

We analyze the intersection properties of projective planes embedded in generalized Kummer fourfolds, with a view toward classifying the homology classes represented by these submanifolds.

arXiv comment28 pages

References in corpus (5)

  • A Lie algebra attached to a projective variety
  • On the monodromy of moduli spaces of sheaves on K3 surfaces II
  • Partial resolutions of Hilbert type, Dynkin diagrams, and generalized Kummer varieties
  • Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
  • Intersection numbers of extremal rays on holomorphic symplectic varieties

Cited by in corpus (4)

  • On natural deformations of symplectic automorphisms of manifolds of K3^[n] type
  • Intersection numbers of extremal rays on holomorphic symplectic varieties
  • Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
  • Lagrangian 4-planes in holomorphic symplectic varieties of K3^[4] type
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