Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin

zbMath0886.14001MaRDI QIDQ1377902

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Publication date: 26 January 1998

Published in: Encyclopaedia of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

theta functionsdegenerationalgebraic curvesJacobiansPrym varietiesAlgebraic geometryHodge theorySchottky problemAlgebraic curvesperiod mapsComplex algebraic varietiesTorelli theorems

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Jacobians, Prym varieties (14H40) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Torelli problem (14C34) Collections of translated articles of general interest (00B50)

Related Items (7)

On the rank index of some quadratic varieties ⋮ Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds ⋮ Canonical map of low codimensional subvarieties ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties ⋮ Hodge theory of degenerations. I: Consequences of the decomposition theorem ⋮ Noether-Lefschetz theory with base locus ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}

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