The cup product of Hilbert schemes for K3 surfaces
By M. Lehn, Christoph Sorger. 2003
61 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a59c68c3ad31c2313eb6e2e75e9a6f75029a4b84
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In Geometry and Topology
- L. Fu
- Zhiyu Tian
- Charles Vial
- E. Markman
- D. Huybrechts
- Giovanni Mongardi
- Misha Verbitsky
- Nicolas Addington
In Mathematical Physics
- L. Fu
- Zhiyu Tian
- Charles Vial
- E. Markman
- D. Huybrechts
- Misha Verbitsky
- Nicolas Addington
- Giovanni Mongardi
Citations in the corpus
- Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces (2004, background): “[ LS ]. The cohomology ring was shown to be isomorphic to the orbifold cohomology of the symmetric product [FG].”
- Motivic hyper-Kähler resolution conjecture, I : Generalized Kummer varieties (2016, methodology): “The corresponding Cohomological HyperKähler Resolution Conjecture was proved independently by Fantechi–Göttsche in [26] and Uribe in [54] making use of Lehn–Sorger’s work [41] computing the ring structure of H∗(S[n]).”
- INTEGRAL CONSTRAINTS ON THE MONODROMY GROUP OF THE HYPERKÄHLER RESOLUTION OF A SYMMETRIC PRODUCT OF A K3 SURFACE (2006, background): “nd H∗(S[3],Q) is generated by H2 and H4, by Lemma 2.6. The Conjecture would follow from its Hilbert scheme case M= S[n], by Theorem 2.3. Lehn and Sorger determined the ring structure of H∗(S[n],Q) in [LS1]. Using these results, they easily reduced Conjecture 2.8 to the analogous statement about H∗((”