Topological invariants of O’Grady’s six dimensional irreducible symplectic variety
By A. Rapagnetta. 2004
69 citations recorded by the source corpus.
We study O’Grady examples of irreducible symplectic varieties: we establish that both of them can be deformed into lagrangian fibrations. We analyze in detail the topology of the six dimensional example: in particular we compute its Euler characteristic and determine its Beauville form.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a93857fc18faaf82dde075edecf421c435736d46
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In Geometry and Topology
- D. Kaledin
- A. Rapagnetta
- Giovanni Mongardi
- Christoph Sorger
- M. Lehn
- E. Markman
- Claire Voisin
- Y. Ruan
In Mathematical Physics
- D. Kaledin
- Giovanni Mongardi
- Christoph Sorger
- M. Lehn
- A. Rapagnetta
- E. Markman
- Claire Voisin
- Y. Ruan
Citations in the corpus
- Singular symplectic moduli spaces (2005, background): “MAb(2; 0, 2) studied by O’Grady [28, 29] and Rapagnetta [ 30 ] fall into this class.”
- On the Beauville form of the known irreducible symplectic varieties (2006, background): “The value χ(M6) =1,920 has been known since [20] while χ(M10) =176,904 has been computed recently by Mozgovyy in his Ph.”
- Monodromy and birational geometry of O'Grady's sixfolds (2019, background): “These fibres have étale double covers which are Jacobians of genus three curves (see [37] and [24, Remark 5.”