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Normal Crossings Degenerations of Symplectic Manifolds

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 نشر من قبل Aleksey Zinger
 تاريخ النشر 2016
  مجال البحث
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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. Parkers programs, contains a multifold version of the usual (two-fold) symplectic cut construction and in particular splits a symplectic manifold into several symplectic manifolds containing normal crossings symplectic divisors with shared irreducible components in one step.



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