The universal theta divisor over the moduli space of curves

DOI10.1016/j.matpur.2013.01.014zbMath1327.14131arXiv1009.0184OpenAlexW2962703567MaRDI QIDQ391501

Gavril Farkas, Alessandro Verra

Publication date: 10 January 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0184

zbMATH Keywords

Kodaira dimensiontheta divisormoduli spaces of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Theta functions and curves; Schottky problem (14H42)

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Cites Work

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• The classification of universal Jacobians over the moduli space of curves
• The geometry of the moduli space of odd spin curves
• The Picard groups of the moduli spaces of curves
• The structure of the Prym map
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• On the Kodaira dimension of the moduli space of curves
• On the Kodaira dimension of the moduli space of Abelian varieties
• On some results of Morita and their application to questions of ampleness
• Irreducibility of some families of linear series with Brill-Noether number. I
• Higher ramification and varieties of secant divisors on the generic curve
• On the universal abelian variety of dimension 4
• Koszul divisors on moduli spaces of curves
• Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
• Die Kodairadimension von Körpern automorpher Funktionen.
• Divisors on Symmetric Products of Curves
• The Kodaira dimension of moduli spaces of curves with marked points
• Curves and Symmetric Spaces, I