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A Geometrical Proof of Shiota‘s Theorem on a Conjecture of S. P. Novikov

Published online by Cambridge University Press:  04 December 2007

GIAMBATTISTA MARINI
GIAMBATTISTA MARINI
Affiliation:
Dipartimento di Matematica, II Università degli Studi di Roma ’Tor Vergata‘, Via della Ricerca Scientifica – 00133 Roma, Italy; e-mail: marini@axp.mat.utovrm.it
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Abstract

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We give a new proof of Shiota's theorem on Novikov's consecture, which states that the K.P. equation characters Jacobians among all indecomposable principally polarized abelian varieties.

Keywords

characterization of JacobiansJ.P. equationK.P. hierarchy.
Type
Research Article
Information
Compositio Mathematica , Volume 111 , Issue 3 , May 1998 , pp. 305 - 322
Copyright
© 1998 Kluwer Academic Publishers