Fixed-domain curve counts for blow-ups of projective space


Event details

Date 30.03.2023
Hour 13:1515:00
Speaker Alessio Cela, ETHZ
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


  • Francesca Carocci


  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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