The 2-factoriaity of the O'Grady's moduli spaces of sheaves
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filed under:
SFB-Kolloquium
Arvid Perego (Mainz)
| What |
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| When |
Jan 29, 2009 from 03:00 pm to 04:00 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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Abstract.
In this talk, we study the two moduli spaces M10 and M6 introduced by O'Grady, which he uses to obtain his two new examples of irreducible symplectic varieties in dimension 10 and 6. We calculate the Picard group of M10 and M6, and we show that these two varieties are not locally factorial, but 2-factorial. This is done using the results obtained by Rapagnetta on the cohomology and the Beauville-Bogomolov form of M10 and M6, and studying the properties of the Le Potier's morphism in these two cases.
