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arXiv · 1509.08284

Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure

Indranil Biswas·Ritwik Mukherjee·Varun Thakre
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Abstract

We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface. This enumerative problem is expressed as the difference between the symplectic invariant and an intersection number on the moduli space of rational curves.

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Indranil Biswas, Ritwik Mukherjee, Varun Thakre. 2015-09-28. Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure. https://doi.org/10.1016/j.crma.2016.02.009

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