most citedIrreducible symplectic 4-folds numerically equivalent to Hilb^2(K3)

4 citations · 4 across the 2 of their papers we have counts for

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3 papers

math.AG2005

Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics

Kieran G. O'Grady

Eisenbud Popescu and Walter have constructed certain special 4-dimensional sextic hypersurfaces as Lagrangian degeneracy loci. We prove that the natural double cover of a generic E…

math.AG2005★ 4 cited

Irreducible symplectic 4-folds numerically equivalent to Hilb^2(K3)

Kieran G. O'Grady

First steps towards a classification of irreducible symplectic 4-folds whose integral 2-cohomology with 4-tuple cup product is isomorphic to that of Hilb^2(K3). We prove that any s…

math.AG2004

Involutions and linear systems on holomorphic symplectic manifolds

Kieran G. O'Grady

A surface with an ample divisor of self-intersection 2 is a double cover of the plane branched over a sextic curve. We conjecture that a similar statement holds for the generi…