On wall-crossing invariance of certain sums of Welschinger numbers

Fuente: arXiv
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Auteurs principaux: Finashin, Sergey, Kharlamov, Viatcheslav
Format: Preprint
Publié: 2022
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author Finashin, Sergey
Kharlamov, Viatcheslav
author_facet Finashin, Sergey
Kharlamov, Viatcheslav
contents We continue our quest for real enumerative invariants not sensitive to changing the real structure and extend the construction we uncovered previously for counting curves of anti-canonical degree $\leqslant 2$ on del Pezzo surfaces with $K^2=1$ to curves of any anti-canonical degree and on any del Pezzo surfaces of degree $K^2\leqslant 3$.
format Preprint
id arxiv_https___arxiv_org_abs_2203_10503
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On wall-crossing invariance of certain sums of Welschinger numbers
Finashin, Sergey
Kharlamov, Viatcheslav
Algebraic Geometry
Primary: 14N10. Secondary: 14P25, 14J26, 14N15, 53D45
We continue our quest for real enumerative invariants not sensitive to changing the real structure and extend the construction we uncovered previously for counting curves of anti-canonical degree $\leqslant 2$ on del Pezzo surfaces with $K^2=1$ to curves of any anti-canonical degree and on any del Pezzo surfaces of degree $K^2\leqslant 3$.
title On wall-crossing invariance of certain sums of Welschinger numbers
topic Algebraic Geometry
Primary: 14N10. Secondary: 14P25, 14J26, 14N15, 53D45
url https://arxiv.org/abs/2203.10503