Tropical count of curves on abelian varieties

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Tropical count of curves on abelian varieties. / Halle, Lars Halvard; Rose, Simon Charles Florian.

In: Communications in Number Theory and Physics, Vol. 11, No. 1, 2017, p. 219-248.

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

Harvard

Halle, LH & Rose, SCF 2017, 'Tropical count of curves on abelian varieties', Communications in Number Theory and Physics, vol. 11, no. 1, pp. 219-248.

APA

Halle, L. H., & Rose, S. C. F. (2017). Tropical count of curves on abelian varieties. Communications in Number Theory and Physics, 11(1), 219-248.

Vancouver

Halle LH, Rose SCF. Tropical count of curves on abelian varieties. Communications in Number Theory and Physics. 2017;11(1):219-248.

Author

Halle, Lars Halvard ; Rose, Simon Charles Florian. / Tropical count of curves on abelian varieties. In: Communications in Number Theory and Physics. 2017 ; Vol. 11, No. 1. pp. 219-248.

Bibtex

@article{9125cf8d006c42cc9f0d93e3c2a888f5,
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",
language = "English",
volume = "11",
pages = "219--248",
journal = "Communications in Number Theory and Physics",
issn = "1931-4523",
publisher = "International Press of Boston, Inc.",
number = "1",

}

RIS

TY - JOUR

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

VL - 11

SP - 219

EP - 248

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

SN - 1931-4523

IS - 1

ER -

ID: 182091283