Tropical curves in abelian surfaces I: enumeration of curves passing through points
arXiv:2202.07250 · doi:10.1017/S0305004124000161
Abstract
This paper is the first part in a series of three papers devoted to the study of enumerative invariants of abelian surfaces through the tropical approach. In this paper, we consider the enumeration of genus curves of fixed degree passing through points. We compute the multiplicity provided by a correspondence theorem due to T. Nishinou and show that it is possible to refine this multiplicity in the style of Block-Göttsche to get tropical refined invariants.
arXiv comment37 pages, 14 figures, comments welcome
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