Complex and tropical counts via positive characteristic
Algebraic Geometry
2020-04-03 v1
Abstract
We reconcile the discrepancy between the complex and tropical counts of some enumerative problems reducing to positive characteristic. Each problem that we consider suggests a prime with special behaviour. Modulo this prime, the solutions coalesce in uniform clusters: at this special prime, the geometric and the tropical behaviours match. As examples, we concentrate on inflection points of plane curves and theta-hyperplanes of canonical curves.
Keywords
Cite
@article{arxiv.2004.00955,
title = {Complex and tropical counts via positive characteristic},
author = {Marco Pacini and Damiano Testa},
journal= {arXiv preprint arXiv:2004.00955},
year = {2020}
}
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18 pages