Enumerative Geometry on KSBA moduli spaces

Fuente: arXiv
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Auteur principal: Jiang, Yunfeng
Format: Preprint
Publié: 2026
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author Jiang, Yunfeng
author_facet Jiang, Yunfeng
contents We survey two new compactification methods for the KSBA moduli space of general type surfaces so that both of them admit a perfect obstruction theory. Virtual fundamental classes exist on these two moduli spaces, and tautological invariants can be defined on KSBA moduli spaces. This is the starting point to do enumerative geometry on KSBA moduli spaces, and we include some discussions in this direction.
format Preprint
id arxiv_https___arxiv_org_abs_2605_19923
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Enumerative Geometry on KSBA moduli spaces
Jiang, Yunfeng
Algebraic Geometry
We survey two new compactification methods for the KSBA moduli space of general type surfaces so that both of them admit a perfect obstruction theory. Virtual fundamental classes exist on these two moduli spaces, and tautological invariants can be defined on KSBA moduli spaces. This is the starting point to do enumerative geometry on KSBA moduli spaces, and we include some discussions in this direction.
title Enumerative Geometry on KSBA moduli spaces
topic Algebraic Geometry
url https://arxiv.org/abs/2605.19923