Fixed-domain curve counts for blow-ups of projective space
Event details
| Date | 30.03.2023 |
| Hour | 13:15 › 15:00 |
| Speaker | Alessio Cela, ETHZ |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
In this talk I will explain some new results about the problem of counting pointed curves of fixed complex structure in blow-ups of projective space at general points. The geometric and the virtual Gromov-Witten counts in genus 0 and in higher genus for large anti-canonical degree curve classes agree in the Fano (and some $(-K)$-nef) examples, but not in general. For toric blow-ups, geometric counts can be expressed in terms of integrals on products of Jacobians and symmetric products of the domain curves, and evaluated explicitly in genus 0 and in the case of Bl_q(P^r), obtaining very simple closed formulas.
Practical information
- Informed public
- Free
Organizer
- Francesca Carocci
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)