PreprintCC BY 4.0arXiv
K-tropical curves, Riemann-Roch and Serre duality
Abstract
We endow a tropical curve with the structure of a ringed space and establish analogues of Riemann-Roch and Serre duality for these ringed spaces. As a corollary, we give a cohomological proof of the tropical Riemann-Roch theorem.
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BibTeX
@misc{karwa2026ktropical,
title = {{$K$-tropical curves, Riemann-Roch and Serre duality}},
author = {Soham Karwa and Joseph Rabinoff},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41737},
eprint = {2610.41737},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41737},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - K-tropical curves, Riemann-Roch and Serre duality
AU - Soham Karwa
AU - Joseph Rabinoff
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41737
UR - https://arxiv.org/abs/2610.41737
AB - We endow a tropical curve with the structure of a ringed space and establish analogues of Riemann-Roch and Serre duality for these ringed spaces. As a corollary, we give a cohomological proof of the tropical Riemann-Roch theorem.
ER -