Algebraic cycles on Jacobian varieties
نویسندگان
چکیده
منابع مشابه
Tautological Cycles on Jacobian Varieties
Q containing C and stable with respect to the Fourier transform, the intersection product, the Pontryagin product, pull-backs and push-forwards of multiplication maps by integers. The tautological ring has a mysterious algebraic structure, which has not been completely understood so far. Only recently Beauville proved that R(C) is finite dimensional as a Q-vector space [Be3]. He proved that the...
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In this paper we give a detailed proof of the Jacobian Conjecture (posed in 1939) which says that a polynomial map Cn → Cn is invertible if and only if its Jacobian is a non-zero constant. To prove it we equip both the set of all polynomial automorphisms of Cn and the set of all polynomial endomorphisms of Cn whose Jacobians are non-zero constants with structures of ind-varieties. Then using al...
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This the original TEX file for my article Jacobian Varieties, published as Chapter VII of Arithmetic geometry (Storrs, Conn., 1984), 167–212, Springer, New York, 1986. The table of contents has been restored, some corrections and minor improvements to the exposition have been made, and an index has been added. The numbering is unchanged.
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Articolo digitalizzato nel quadro del programma bdim (Biblioteca Digitale Italiana di Matematica) SIMAI & UMI
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2004
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x03000733