Non-integral bundles and gerbes; twisted K-theory and cohomology.
3-point Virasoro algebra action on free field realization and gerbes
Noether-Lefschetz theory in toric varieties and its connection with Mori dream spaces
| Full text | |
| Author(s): |
Menet, Gregoire
Total Authors: 1
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| Document type: | Journal article |
| Source: | EPIJOURNAL DE GEOMETRIE ALGEBRIQUE; v. 6, p. 49-pg., 2022-02-23. |
| Abstract | |
We describe the integral cohomology of X/G where X is a compact complex manifold and G a cyclic group of prime order with only isolated fxed points. As a preliminary step, we investigate the integral cohomology of toric blow-ups of quotients of C-n. We also provide necessary and sufficient conditions for the spectral sequence of equivariant cohomology of (X, G) to degenerate at the second page. As an application, we compute the Beauville-Bogomolov form of X/G when X is a Hilbert scheme of points on a K3 surface and G a symplectic automorphism group of orders 5 or 7. (AU) | |
| FAPESP's process: | 14/05733-9 - Geometry of irreducible symplectic varieties |
| Grantee: | Grégoire Menet |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |