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

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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

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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.

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SN - 1931-4523

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SP - 219

EP - 248

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

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