On the non-degeneracy of Enriques surfaces
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Event details
Date | 23.05.2023 |
Hour | 14:15 › 16:00 |
Speaker | Gebhard Martin (University of Bonn) |
Location | |
Category | Conferences - Seminars |
Event Language | English |
I will report on joint work with G. Mezzedimi and D. Veniani on Enriques surfaces with small non-degeneracy. The non-degeneracy of an Enriques surface X is the maximal length of an isotropic sequence of effective curves on X. Roughly speaking, the higher the non-degeneracy of an Enriques surface is, the more well-behaved are its projective models. For example, Enriques surfaces of maximal non-degeneracy 10 are isomorphic to surfaces of degree 10 in P^5. We prove that, in characteristic different from 2, every Enriques surface has non-degeneracy at least 4, which implies that all of them arise via Enriques’ classical construction as a minimal resolution of a sextic in P^3 which is non-normal along the edges of a tetrahedron and all Enriques surfaces are birational to normal quintics in P^3.
Practical information
- Informed public
- Free
Organizer
- Fabio Bernasconi
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)