相对于环面边界的实枚举不变量及其精细化
代数几何
2025-04-22 v2
摘要
我们为一类环面曲面（包括射影平面）引入了新的不变量，这些不变量源于对亏格为一和二的实曲线的适当枚举。这些不变量允许进行类似于Grigory Mikhalkin在有理情形下引入的精细化。
引用
@article{arxiv.2401.06718,
title = {Real enumerative invariants relative to the toric boundary and their refinement},
author = {Ilia Itenberg and Eugenii Shustin},
journal= {arXiv preprint arXiv:2401.06718},
year = {2025}
}
备注
This is a substantially revised version: two signed counts of real curves of genus 0, 1, and 2 are introduced, both giving real enumerative invariants; two extremal cases are excluded from the main theorems