The zero section of the universal semiabelian variety and the double ramification cycle

DOI10.1215/00127094-26444575zbMath1302.14039arXiv1206.3534OpenAlexW3100434105WikidataQ64385692 ScholiaQ64385692MaRDI QIDQ2450257

Samuel Grushevsky, Dmitry V. Zakharov

Publication date: 19 May 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3534

zbMATH Keywords

moduli spaceprincipally polarized abelian varietiestoroidal compactification, semi-abelic varieties, double ramification cycle

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli of abelian varieties, classification (14K10)

Related Items (16)

Geometric Bogomolov conjecture in arbitrary characteristics ⋮ Hurwitz theory and the double ramification cycle ⋮ The double ramification cycle and the theta divisor ⋮ Multiplicativity of the double ramification cycle ⋮ Fine Compactified Moduli of Enriched Structures on Stable Curves ⋮ The double ramification cycle formula ⋮ Polynomial families of tautological classes on \(\mathcal M^{\mathrm{rt}}_{g,n}\) ⋮ The closure of double ramification loci via strata of exact differentials ⋮ On the cone of effective surfaces on $\overline{\mathcal A}_3$ ⋮ The resolution of the universal Abel map via tropical geometry and applications ⋮ EXTENDING THE DOUBLE RAMIFICATION CYCLE BY RESOLVING THE ABEL-JACOBI MAP ⋮ Tautological classes on the moduli space of hyperelliptic curves with rational tails ⋮ Extending the double ramification cycle using Jacobians ⋮ The stability space of compactified universal Jacobians ⋮ Infinitesimal structure of the pluricanonical double ramification locus ⋮ The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

Uses Software

• Maple

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