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On double covers of quadratic and Lagrangian degeneracy loci

A. G. Kuznetsov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow



Abstract: A two-dimensional quadratic cone has a smooth double cover ramified only over its vertex. This is a prototypical example of a double cover of a quadratic degeneracy locus. I will discuss a construction of such double covers in a more general setting (including Lagrangian degeneracy loci) via reflexive sheaves.

Language: English


© Steklov Math. Inst. of RAS, 2024