arXiv (All)
open access
$K$-tropical curves, Riemann-Roch and Serre duality
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.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations#1534857
- Minimum volumes of tropical rational functions#1247246
- Fundamental groups of Calabi-Yau spaces#1233308
- The Serre-Grothendieck Finiteness Theorem for the cohomology of coherent sheaves#1076601
- The dual complex and RC-invariant functors#1423400
Record · ID 1535060
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive