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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

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.

Original language	English
Journal	Communications in Number Theory and Physics
Volume	11
Issue number	1
Pages (from-to)	219-248
ISSN	1931-4523
Publication status	Published - 2017

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title = "Tropical count of curves on abelian varieties",

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 [G{\"o}t98, BL99b, LS02] in the complexsetting.",

author = "Halle, {Lars Halvard} and Rose, {Simon Charles Florian}",

year = "2017",

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T1 - Tropical count of curves on abelian varieties

AU - Halle, Lars Halvard

AU - Rose, Simon Charles Florian

PY - 2017

Y1 - 2017

N2 - 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.

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

SN - 1931-4523

VL - 11

SP - 219

EP - 248

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

IS - 1

ER -