论文标题

复杂和热带计数通过积极特征

Complex and tropical counts via positive characteristic

论文作者

Pacini, Marco, Testa, Damiano

论文摘要

我们调和一些列举问题的复杂和热带计数之间的差异,这些问题降低到积极的特征。我们考虑的每个问题都表明具有特殊行为的质量。 Modulo这个素数,解决方案均匀簇结合:在这个特殊的素数下,几何和热带行为匹配。作为示例,我们集中于平面曲线的拐点和规范曲线的theta-hyperplanes。

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.

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