Affine parts of abelian surfaces as complete intersections of four quadrics

DOI10.1007/BF01458063zbMath0675.14023OpenAlexW2055224390MaRDI QIDQ1121958

Wolf P. Barth

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164284

zbMATH Keywords

complete intersectionsgeodesic flowintegrals of motionabelian surfaces

Mathematics Subject Classification ID

Complete intersections (14M10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Special surfaces (14J25) Abelian varieties and schemes (14K99)

Related Items (10)

The intersection of four quadrics in \(P^ 6\), Abelian surfaces and their moduli ⋮ The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs ⋮ In memoriam of Wolf Barth (1942--2016) ⋮ On Principally Polarized Adler‐van Moerbeke Surfaces ⋮ Unnamed Item ⋮ On Rosenhain-Göpel configurations and integrable systems ⋮ Canonical System on Elliptic Curves ⋮ The full Geometry of Kowalewski's top and (1, 2)-abelian surfaces ⋮ Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The algebraic integrability of geodesic flow on SO(4)
• On the equations defining Abelian varieties. I-III
• Geodesic flow on SO(4) and the intersection of quadrics

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