The fibre of the Prym map in genus three

DOI10.1007/BF01450840zbMath0588.14024MaRDI QIDQ1073123

Alessandro Verra

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164210

zbMATH Keywords

abelian surfacecovering of stable genus three curvesfibre of Prym mapSatake compactification of the moduli space of principally polarized abelian surfacessymmetric theta divisor

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Theta functions and abelian varieties (14K25) Algebraic moduli of abelian varieties, classification (14K10)

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Classical Moduli Spaces and Rationality ⋮ A TORELLI THEOREM FOR SPECIAL DIVISOR VARIETIES X ASSOCIATED TO DOUBLY COVERED CURVES ${\tilde C}/C$ ⋮ Sixfolds of generalized Kummer type and K3 surfaces ⋮ Unnamed Item ⋮ Derived categories and rationality of conic bundles ⋮ On the Hitchin system ⋮ Curves on Heisenberg invariant quartic surfaces in projective 3-space ⋮ Aspetti geometrici della teoria delle varietà di Prym ⋮ Complex curves of genus three, Kummer surfaces and Quillen metrics ⋮ The fibers of the ramified Prym map

Cites Work

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• The structure of the Prym map
• The generic Torelli theorem for the Prym map
• The tetragonal construction
• Universal Properties of Prym Varieties With an Application to Algebraic Curves of Genus Five
• Variétés de Prym et jacobiennes intermédiaires