Base number theorem for abelian varieties

DOI10.1007/BF01460039zbMath0625.14024MaRDI QIDQ579359

Gian Pietro Pirola

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164467

zbMATH Keywords

Prym varietiesintermediate Jacobianinfinitesimal variation of Hodge structurerank of the Néron-Severi group

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Picard groups (14C22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic theory of abelian varieties (14K05)

Related Items (12)

A Noether-Lefschetz theorem for varieties of r-planes in complete intersections ⋮ Semicontinuity of Gauss maps and the Schottky problem ⋮ Curves of genus \(g\) lying on a \(g\)-dimensional Jacobian variety ⋮ Surfaces close to the Severi lines ⋮ FUJITA DECOMPOSITION AND HODGE LOCI ⋮ TWO CLASSES OF HYPERBOLIC SURFACES IN ℙ³ ⋮ On isogenies of Prym varieties ⋮ The Hodge conjecture for general Prym varieties ⋮ Polygonal cycles in higher Chow groups of Jacobians ⋮ On abelian subvarieties generated by symmetric correspondences ⋮ On the Neron-Severi group of Jacobians of curves with automorphisms ⋮ Generic Torelli theorem for Prym varieties of ramified coverings

Cites Work

• A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
• A new proof of the explicit Noether-Lefschetz theorem
• The topology of complex projective varieties after S. Lefschetz
• On deformations of complex analytic structures. I
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
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