Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes
Algebraic Geometry
2023-01-26 v1
Abstract
We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective threefold supported on the members of a linear system of a fixed line bundle. When the canonical bundle of the threefold satisfies certain positivity conditions, we relate the DT invariants to Carlsson-Okounkov formulas for the "twisted Euler's number" of the punctual Hilbert schemes of nonsingular surfaces, and conclude they have a modular property.
Cite
@article{arxiv.1909.02679,
title = {Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes},
author = {Amin Gholampour and Artan Sheshmani},
journal= {arXiv preprint arXiv:1909.02679},
year = {2023}
}
Comments
First draft. Comments are welcome