Tropical count of curves on abelian varieties

Lars Halvard Halle; Simon Charles Florian Rose

Tropical count of curves on abelian varieties

Lars Halvard Halle, Simon Charles Florian Rose

Institut for Matematiske Fag

Abstract

We investigate the problem of counting tropical genus g curves ing-dimensional tropical abelian varieties. We do this by studyingmaps from principally polarized tropical abelian varieties into afixed abelian variety. For g = 2, 3, we prove that the tropical countmatches the count provided in [Göt98, BL99b, LS02] in the complexsetting.

Originalsprog	Engelsk
Tidsskrift	Communications in Number Theory and Physics
Vol/bind	11
Udgave nummer	1
Sider (fra-til)	219-248
ISSN	1931-4523
Status	Udgivet - 2017

Citationsformater

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AU - Halle, Lars Halvard

AU - Rose, Simon Charles Florian

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AB - We investigate the problem of counting tropical genus g curves ing-dimensional tropical abelian varieties. We do this by studyingmaps from principally polarized tropical abelian varieties into afixed abelian variety. For g = 2, 3, we prove that the tropical countmatches the count provided in [Göt98, BL99b, LS02] in the complexsetting.

M3 - Journal article

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SP - 219

EP - 248

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

IS - 1

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