The projective-space exceptional-locus conjecture for symplectic contractions
The projective-space exceptional-locus conjecture for symplectic contractions
Let be a smooth projective symplectic variety of dimension , and let
be a birational contraction whose degenerate locus is contracted to isolated points. Projective-space exceptional-locus conjecture. The locus is a disjoint union of smooth subvarieties, each isomorphic to . The result is known when a smooth subvariety is contracted to a point, but the stated assertion for an entire degenerate locus is presented as an expectation and remains open.
Sources & referencesView supporting material
Primary source
Yi Hu and S. -T. Yau, “HyperKähler Manifolds and Birational Transformations”, arXiv:math/0111089 (2003).
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