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arXiv · 1909.02679

Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes

Amin Gholampour·Artan Sheshmani
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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.

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Amin Gholampour, Artan Sheshmani. 2019-09-06. Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes. https://arxiv.org/abs/1909.02679

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