The DT/PT correspondence for smooth curves
Algebraic Geometry
2018-01-16 v2
Abstract
We show a version of the DT/PT correspondence relating local curve counting invariants, encoding the contribution of a fixed smooth curve in a Calabi-Yau threefold. We exploit a local study of the Hilbert-Chow morphism about the cycle of a smooth curve. We determine, via Quot schemes, the global Donaldson-Thomas theory of a general Abel-Jacobi curve of genus .
Keywords
Cite
@article{arxiv.1708.07812,
title = {The DT/PT correspondence for smooth curves},
author = {Andrea T. Ricolfi},
journal= {arXiv preprint arXiv:1708.07812},
year = {2018}
}
Comments
Minor changes, published version