Abel Maps for nodal curves via tropical geometry

DOI10.1090/mcom/3717zbMath1491.14044arXiv2011.02003OpenAlexW4206494486MaRDI QIDQ5082044

Alex Abreu, Marco Pacini, Sally Andria

Publication date: 15 June 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02003

zbMATH Keywords

toric varietyJacobianalgebraic curveAbel maptropical curve

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Applications of tropical geometry (14T90)

Related Items (1)

Degree-2 Abel maps and hyperelleptic curves

Uses Software

• SageMath
• GitHub

Cites Work

• Unnamed Item
• Metric properties of the tropical Abel-Jacobi map
• Abel maps of Gorenstein curves
• Stable curves and special divisors: Petri's conjecture
• Compactifying the Picard scheme
• On the variety of special linear systems on a general algebraic curve
• The resolution of the universal Abel map via tropical geometry and applications
• Abel maps for curves of compact type
• On the degree-1 Abel map for nodal curves
• On the geometry of Abel maps for nodal curves
• On Abel maps of stable curves
• Compactifying the relative Jacobian over families of reduced curves
• Introduction to Toric Varieties. (AM-131)
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• Degree-2 Abel Maps for Nodal Curves
• The universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian

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