Zero-cycles on self-product of modular curves
نویسندگان
چکیده
منابع مشابه
Zero-cycles on Self-product of Modular Curves
arising from the localization sequence in algebraic K-theory has a torsion cokernel. Here p runs over a set of primes which satisfy a certain condition explained below. When C is an elliptic curve, all but finite number of primes p satisfy the condition. By using this fact, Langer and Saito give a finiteness result for the torsion subgroup of the Chow group CH(C × C)([LS]). When g = genus(C) > ...
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We wish to give a short elementary proof of S. Saito’s result that the Brauer-Manin obstruction for zero-cycles of degree 1 is the only one for curves, supposing the finiteness of the Tate-Shafarevich-group X1(A) of the Jacobian variety. In fact we show that we only need a conjecturally finite part of the Brauer-group for this obstruction to be the only one. We also comment on the situation in ...
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It is well known that the j-invariant establishes a bijection between C and the set of isomorphism classes of elliptic curves over C, see for example [10]. The endomorphism ring of an elliptic curve E over C is either Z or an order in an imaginary quadratic extension of Q; in the second case E is said to be a CM elliptic curve (CM meaning complex multiplication). A complex number x is said to b...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2006
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-006-0086-z