A new proof of the Ran-Matsusaka criterion for Jacobians

Collino, Alberto

doi:10.1090/S0002-9939-1984-0759646-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

A new proof of the Ran-Matsusaka criterion for Jacobians
HTML articles powered by AMS MathViewer

by Alberto Collino PDF

Proc. Amer. Math. Soc. 92 (1984), 329-331 Request permission

Abstract:

We give a characteristic free proof of a criterion which was first proved by Ran over ${\mathbf {C}}$.

References

Teruhisa Matsusaka, On a characterization of a Jacobian variety, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1959), 1–19. MR 108497, DOI 10.1215/kjm/1250776695
David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
Ziv Ran, On subvarieties of abelian varieties, Invent. Math. 62 (1981), no. 3, 459–479. MR 604839, DOI 10.1007/BF01394255