Real enumerative invariants relative to the toric boundary and their refinement

Autor: Itenberg, Ilia, Shustin, Eugenii
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We introduce new invariants of the projective plane (and, more generally, of certain toric surfaces) that arise from the appropriate enumeration of real curves of genera one and two. These invariants admit a refinement (according to the quantum index) similar to the one introduced by Grigory Mikhalkin in the rational case.
Comment: 48 pages, 7 figures. This is an extended (to the genus 2 case) version of the algebro-geometric part of the preprint arXiv:2303.0620. The tropical part of arXiv:2303.0620 will appear in a separate paper
Databáze: arXiv