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Hyperelliptic graphs and metrized complexes

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Hyperelliptic graphs and metrized complexes. / Len, Yoav.

In: Forum of Mathematics, Sigma, Vol. 5, e20, 2017.

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Len, Y 2017, 'Hyperelliptic graphs and metrized complexes', Forum of Mathematics, Sigma, vol. 5, e20. https://doi.org/10.1017/fms.2017.13

APA

Len, Y. (2017). Hyperelliptic graphs and metrized complexes. Forum of Mathematics, Sigma, 5, [e20]. https://doi.org/10.1017/fms.2017.13

Vancouver

Len Y. Hyperelliptic graphs and metrized complexes. Forum of Mathematics, Sigma. 2017;5. e20. https://doi.org/10.1017/fms.2017.13

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Len, Yoav. / Hyperelliptic graphs and metrized complexes. In: Forum of Mathematics, Sigma. 2017 ; Vol. 5.

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@article{52266ef870ce467782141dcc65a15415,
title = "Hyperelliptic graphs and metrized complexes",
abstract = "We prove a version of Clifford's theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree 2r and rank r (for 0<r<g−1) also carries a divisor of degree 2 and rank 1. We provide a structure theorem for hyperelliptic metrized complexes, and use it to classify divisors of degree bounded by the genus. We discuss a tropical version of Martens' theorem for metric graphs.",
author = "Yoav Len",
year = "2017",
doi = "10.1017/fms.2017.13",
language = "English",
volume = "5",
journal = "Forum of Mathematics, Sigma",
issn = "2050-5094",
publisher = "Cambridge University Press",

}

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TY - JOUR

T1 - Hyperelliptic graphs and metrized complexes

AU - Len, Yoav

PY - 2017

Y1 - 2017

N2 - We prove a version of Clifford's theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree 2r and rank r (for 0<r<g−1) also carries a divisor of degree 2 and rank 1. We provide a structure theorem for hyperelliptic metrized complexes, and use it to classify divisors of degree bounded by the genus. We discuss a tropical version of Martens' theorem for metric graphs.

AB - We prove a version of Clifford's theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree 2r and rank r (for 0<r<g−1) also carries a divisor of degree 2 and rank 1. We provide a structure theorem for hyperelliptic metrized complexes, and use it to classify divisors of degree bounded by the genus. We discuss a tropical version of Martens' theorem for metric graphs.

U2 - 10.1017/fms.2017.13

DO - 10.1017/fms.2017.13

M3 - Article

VL - 5

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

SN - 2050-5094

M1 - e20

ER -

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