Geometry of Prym semicanonical pencils and an application to cubic threefolds

DOI10.1002/mana.202100631zbMath1523.14060arXiv2106.08683OpenAlexW3171708399MaRDI QIDQ6093622

Andrés Rojas, Martí Lahoz, Juan Carlos Naranjo

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08683

zbMATH Keywords

Prym varietiestheta-characteristicscubic threefoldsFano surfaces

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Algebraic moduli of abelian varieties, classification (14K10) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• Singularities of theta divisors and the geometry of \(\mathcal A_5\)
• Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić)
• The structure of the Prym map
• Rationality of \(\mathcal{R}_2\) and \(\mathcal{R}_3\)
• The Kodaira dimension of the moduli space of Prym varieties
• On the locus of curves with automorphisms
• Prym varieties and Schottky problem
• On the class of Brill-Noether loci for Prym varieties
• The positive dimensional fibres of the Prym map
• Geometry of Brill-Noether loci on Prym varieties
• Fano surfaces with 12 or 30 elliptic curves
• Singularities of the Prym theta divisor
• The intermediate Jacobian of the cubic threefold
• Theta-duality on Prym varieties and a Torelli theorem
• Classical Algebraic Geometry
• The Prym Map on Divisors, and the Slope of A5
• Half-Canonical Series on Algebraic Curves
• Irreducibility of some families of linear series with Brill-Noether number. I
• Generic Torelli theorem for Prym varieties of ramified coverings
• Theta-Characteristics on Algebraic Curves
• A theorem of Gieseker-Petri type for Prym varieties
• Funktionen von vorgegebener Ordnung auf komplexen Kurven.
• The tetragonal construction
• The fibers of the Prym map
• Variétés de Prym et jacobiennes intermédiaires
• Generic injectivity of the Prym map for double ramified coverings
• The geometric structure of A4, the structure of the Prym map, double solids and Γ00-divisors.
• Families of rationally connected varieties
• Prym varieties and their moduli
• Global Prym-Torelli for double coverings ramified in at least six points
• Le lieu des variétés abéliennes dont le diviseur thêta est singulier a deux composantes
• Theta characteristics of an algebraic curve
• The fibers of the ramified Prym map
• The Divisors of Prym Semicanonical Pencils

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