An obstruction to smoothing stable maps
Algebraic Geometry
2026-02-05 v2 Symplectic Geometry
Abstract
We describe an obstruction to smoothing stable maps in smooth projective varieties, which generalizes some previously known obstructions. Our obstruction comes from the non-existence of certain rational functions on the ghost components, with prescribed simple poles and residues.
Cite
@article{arxiv.2407.01845,
title = {An obstruction to smoothing stable maps},
author = {Fatemeh Rezaee and Mohan Swaminathan},
journal= {arXiv preprint arXiv:2407.01845},
year = {2026}
}
Comments
16 pages, 6 figures, accepted for publication in Selecta