Normal Crossings Degenerations of Symplectic Manifolds
نویسندگان
چکیده
منابع مشابه
Normal Crossings Degenerations of Symplectic Manifolds
We use local Hamiltonian torus actions to degenerate a symplectic manifold to a normal crossings symplectic variety in a smooth one-parameter family. This construction, motivated in part by the Gross-Siebert and B. Parker’s programs, contains a multifold version of the usual (twofold) symplectic cut construction and in particular splits a symplectic manifold into several symplectic manifolds co...
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Our previous paper introduces topological notions of normal crossings symplectic divisor and variety and establishes that they are equivalent, in a suitable sense, to the desired geometric notions. Friedman’s d-semistability condition is well-known to be an obstruction to the smoothability of a normal crossings variety in a one-parameter family with a smooth total space in the algebraic geometr...
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ژورنال
عنوان ژورنال: Peking Mathematical Journal
سال: 2019
ISSN: 2096-6075,2524-7182
DOI: 10.1007/s42543-019-00017-y