A Hurwitz divisor on the moduli of Prym curves

DOI10.1007/s10711-021-00663-6zbMath1482.14033arXiv2104.14947OpenAlexW4206673444MaRDI QIDQ2071809

Andrei Bud

Publication date: 31 January 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14947

zbMATH Keywords

enumerative geometryadmissible coversPrym curvesHurwitz schemes

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Families, moduli of curves (analytic) (14H15)

Cites Work

• \(\overline{\mathcal R}_{15}\) is of general type
• The Picard group of the moduli space of curves with level structures
• On the Kodaira dimension of the moduli space of curves. II: The even-genus case
• Prym varieties and moduli of polarized Nikulin surfaces
• The Kodaira dimension of the moduli space of Prym varieties
• The Fermat cubic and special Hurwitz loci in \(\overline{\mathcal{M}}\)
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Green-Lazarsfeld's conjecture for generic curves of large gonality.
• Moduli of Prym curves
• On the Kodaira dimension of the moduli space of curves
• The class of a Hurwitz divisor on the moduli of curves of even genus
• The image in \(\mathcal{M}_g\) of strata of meromorphic and quadratic differentials
• Exceptional Weierstrass points and the divisor on moduli space that they define
• Variétés de Prym et jacobiennes intermédiaires
• Twisted Bundles and Admissible Covers
• Progress on Syzygies of Algebraic Curves
• Divisorial Strata of Abelian Differentials
• THE MODULI SPACE OF TWISTED CANONICAL DIVISORS
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• Alternating Catalan numbers and curves with triple ramification
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