Prym-Tjurin varieties and the Hitchin map

DOI10.1007/BF01460978zbMath0835.14017MaRDI QIDQ1907179

Renata Scognamillo

Publication date: 15 April 1996

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

Full work available at URL: https://eudml.org/doc/165356

zbMATH Keywords

moduli spaceRiemann surfaceisogenies between a generalized Prym variety and spectral Prym-TjurinsPrym-Tjurin variety

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Simple, semisimple, reductive (super)algebras (17B20) Holomorphic bundles and generalizations (32L05)

Related Items

Hurwitz spaces of Galois coverings of \(\mathbb P^1\), whose Galois groups are Weyl groups, Irreducible components of Hurwitz spaces of coverings with two special fibers, The G-generalized Hitchin systems and Prym varieties

Cites Work

• Stable bundles and integrable systems
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• The Yang-Mills equations over Riemann surfaces
• Introduction to Lie Algebras and Representation Theory
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