Reduced divisors and embeddings of tropical curves

DOI10.1090/S0002-9947-2013-05789-3zbMath1405.14139arXiv1007.5364MaRDI QIDQ2847125

Omid Amini

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5364

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Divisors, linear systems, invertible sheaves (14C20) Varieties and morphisms (14A10)

Related Items

Tropicalized Quartics and Canonical Embeddings for Tropical Curves of Genus 3 ⋮ Clifford's theorem for graphs ⋮ The distribution of Weierstrass points on a tropical curve ⋮ Infinite reduction of divisors on metric graphs ⋮ Free divisors on metric graphs ⋮ Effective faithful tropicalizations associated to linear systems on curves ⋮ Degeneration of Linear Series from the Tropical Point of View and Applications ⋮ CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM ⋮ Rational function semifields of tropical curves are finitely generated over the tropical semifield ⋮ Linear series on metrized complexes of algebraic curves

Cites Work

• Unnamed Item
• Linear systems on tropical curves
• Rank-determining sets of metric graphs
• Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad)
• Riemann-Roch for sub-lattices of the root lattice \(A_n\)
• Rank of divisors on tropical curves
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• A Riemann-Roch theorem in tropical geometry
• Wronskians and Linear Independence