The logarithmic Picard group and its tropicalization

DOI10.1112/S0010437X22007527zbMath1502.14008arXiv1807.11364OpenAlexW4289743204MaRDI QIDQ5868371

Jonathan Wise, Sam Molcho

Publication date: 20 September 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11364

zbMATH Keywords

JacobianPicard groupalgebraic curveslogarithmic geometrytropical geometry

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Picard schemes, higher Jacobians (14K30) Algebraic moduli problems, moduli of vector bundles (14D20) Jacobians, Prym varieties (14H40) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Stacks and moduli problems (14D23) Logarithmic algebraic geometry, log schemes (14A21) Foundations of tropical geometry and relations with algebra (14T10)

Related Items (11)

Logarithmic moduli of roots of line bundles on curves ⋮ Compactified Jacobians as Mumford models ⋮ The monodromy pairing for logarithmic 1-motifs ⋮ Logarithmic Gromov-Witten theory and double ramification cycles ⋮ A universal tropical Jacobian over Mgtrop$M_g^{\rm {trop}}$ ⋮ A MODULI STACK OF TROPICAL CURVES ⋮ Models of Jacobians of curves ⋮ Rational curves in the logarithmic multiplicative group ⋮ A Clifford inequality for semistable curves ⋮ Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case ⋮ The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

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