Extension of 2-forms and symplectic varieties
By Y. Namikawa. 2000
113 citations recorded by the source corpus.
This paper deals with symplectic varieties which do not have symplectic resolutions. Some moduli spaces of semi-stable torsion-free sheaves on a K3 surface, and symplectic V-manifolds are such varieties. We shall prove local Torelli theorem for symplectic varieties. Some results on symplectic singularities are also included.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5a62131f9df102b5e5a1d691cb1201fbadf99586
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In Geometry and Topology
- Davesh Maulik
- A. Okounkov
- Benjamin Bakker
- C. Lehn
- R. Pandharipande
- Paul Blain Levy
- Y. Namikawa
- Baohua Fu
In Mathematical Physics
- A. Okounkov
- Davesh Maulik
- C. Lehn
- Benjamin Bakker
- Paul Blain Levy
- Y. Namikawa
- Baohua Fu
- R. Pandharipande
Citations in the corpus
- Quantum Groups and Quantum Cohomology (2012, result): “ly as in the proof of Proposition 3.5.1. Similarly, conditions (i)and (ii)follow from construction. 1 This widely known and used statement may be deduced from the results of Kaledin [55] and Namikawa [85]. Further details may be found in the forthcoming lecture notes of V. Ginzburg on the subject. 7”
- The global moduli theory of symplectic varieties (2018, methodology): “The following result is already contained in the work of Namikawa [Nam01b], Matsushita [Mat01], Kirschner [Kir15], Schwald [Sch17].”
- On deformations of ℚ-factorial symplectic varieties (2005, background): “be an isomorphism (cf. [Na 1], claim 3, p. 618). Since Yt has only rational singularities, the natural map H2(Y t,C) → H2(Y˜t,C) is injective. Hence H2(Yt,C) admits a pure Hodge structure of weight 2 [Na]. Let H2(Y t,C) = H2,0(Y t) ⊕H 1,1(Y t) ⊕ H 0,2(Y t) be the Hodge decomposition. There is an inj”
- Generic singularities of nilpotent orbit closures (2015, background): “The partial order on nilpotent orbits is defined to be the closure ordering.”