Symplectic varieties with invariant Lagrangian subvarietiesстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The aim of this paper is to study symplectic algebraic varieties equipped with an action of a reductive group and with a moment map (Hamiltonian varieties) that contain invariant Lagrangian subvarieties. Most natural examples are cotangent bundles of varieties with a reductive group action, where the zero section is an invariant Lagrangian subvariety. We show
that some important invariants of a Hamiltonian symplectic variety with an invariant Lagrangian subvariety coincide with those of the cotangent bundle over this subvariety.