Prym varieties and the geodesic flow on \(\mathrm{SO}(n)\)

DOI10.1007/BF01451409zbMath0566.58028OpenAlexW2318730560MaRDI QIDQ1059319

Stefanos Pantazis

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/164057

zbMATH Keywords

abelian varietiesgeodesic flowPrym varietiesbigonal constructiondouble cover of a hyperelliptic curve

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Coverings of curves, fundamental group (14H30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Abelian varieties and schemes (14K99)

Related Items (11)

Global Prym-Torelli for double coverings ramified in at least six points ⋮ Arithmetic statistics of Prym surfaces ⋮ Decomposing Jacobians Via Galois covers ⋮ Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces ⋮ A Lie theoretic Galois theory for the spectral curves of an integrable system. II ⋮ NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN ⋮ Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2) ⋮ Divisors of $\mathcal{A}^{(1,1,2,2)}_4$ ⋮ Duality for relative Prymians associated to \(K3\) double covers of del Pezzo surfaces of degree 2 ⋮ The fibers of the ramified Prym map ⋮ The arithmetic-geometric mean and isogenies for curves of higher genus

Cites Work

• The algebraic integrability of geodesic flow on SO(4)
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• The algebraic complete integrability of geodesic flow on SO(N)
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• The spectrum of difference operators and algebraic curves
• The characters of unitary representations of Lie groups
• Linearizing Flows and a Cohomological Interpretation of Lax Equations
• The tetragonal construction
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