Abstract
Using the theory of hyperkhler manifolds, we generalize the notion of Enriques surfaces to higher dimensions, explore their properties, and construct several examples using group actions on Hilbert schemes of points or moduli spaces of stable sheaves.
Received: 2010-01-10
Revised: 2010-04-21
Published Online: 2011-December
Published in Print: 2011-December
Walter de Gruyter Berlin New York 2011
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Articles in the same Issue
- On the cyclotomic main conjecture for the prime 2
- Some consequences of Arthur's conjectures for special orthogonal even groups
- Cartier modules: Finiteness results
- RiemannHilbert problem for Hurwitz Frobenius manifolds: Regular singularities
- Prime factors of dynamical sequences
- Enriques manifolds
- Volume versus rank of lattices
Articles in the same Issue
- On the cyclotomic main conjecture for the prime 2
- Some consequences of Arthur's conjectures for special orthogonal even groups
- Cartier modules: Finiteness results
- RiemannHilbert problem for Hurwitz Frobenius manifolds: Regular singularities
- Prime factors of dynamical sequences
- Enriques manifolds
- Volume versus rank of lattices