D Novikov 2002 Nonlinearity 15 1435 doi:10.1088/0951-7715/15/5/305
D Novikov
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We give a simple proof of an isomorphism between two
(t)-modules corresponding to bivariate polynomial H with non-degenerate highest homogeneous part: the module of relative cohomologies Λ2/dH
Λ1 and the module of Abelian integrals. Using this isomorphism, we prove the existence and deduce some properties of the corresponding Picard–Fuchs system.
37A35 Entropy and other invariants, isomorphism, classification
14K20 Analytic theory; abelian integrals and differentials
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
Issue 5 (September 2002)
Received 16 October 2001, in final form 10 June 2002
Published 15 July 2002
D Novikov 2002 Nonlinearity 15 1435
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