Topological invariants of O'Grady's six dimensional irreducible symplectic variety

Details Topological invariants of O'Grady's six dimensional irreducible symplectic variety Topological invariants of O'Grady's six dimensional irreducible symplectic variety

2004-06-02

arxiv.org/abs/math/0406026v2

Mathematics

Algebraic Geometry

35 pages, corrected a computational mistake in Theorem 3.5.1, improved exposition

Scientific paper

We study O'Grady examples of irreducible symplectic varieties: we establish
that both of them can be deformed into lagrangian fibrations. We analyse in
detail the topology of the six dimensional example: in particular we compute
its Euler characteristic and determine its Beauville form.

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