Prym varieties and their moduli

DOI10.4171/114-1/8zbMath1259.14032arXiv1104.2886OpenAlexW1580114169MaRDI QIDQ4898115

Gavril Farkas

Publication date: 29 December 2012

Published in: EMS Series of Congress Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2886

zbMATH Keywords

Koszul cohomologyKodaira dimensionsyzygiesmoduli spacealgebraic curvesPrym varietiesbirational geometryspin curves

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Algebraic moduli of abelian varieties, classification (14K10) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) History of algebraic geometry (14-03) History of mathematics in the 19th century (01A55) Theta functions and curves; Schottky problem (14H42) Stacks and moduli problems (14D23)

Related Items (9)

On the Jacobian locus in the Prym locus and geodesics ⋮ On the Prym map for cyclic covers of genus two curves ⋮ Geometry of Prym semicanonical pencils and an application to cubic threefolds ⋮ Euler characteristics of Brill-Noether loci on Prym varieties ⋮ Global rigidity of the period mapping ⋮ Unnamed Item ⋮ Shimura curves in the Prym locus ⋮ Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić) ⋮ The fibers of the ramified Prym map

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