Equivariant motives
نویسندگان
چکیده
منابع مشابه
On the Equivariant Tamagawa Number Conjecture for Tate Motives , Part II . Dedicated to John
Let K be any finite abelian extension of Q, k any subfield of K and r any integer. We complete the proof of the equivariant Tamagawa Number Conjecture for the pair (h(Spec(K))(r),Z[Gal(K/k)]). 2000 Mathematics Subject Classification: Primary 11G40; Secondary 11R65 19A31 19B28
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Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a prime and let r ≤ 0 be an integer. By examining the structure of the p-adic group ring Zp[G], we prove many new cases of the p-part of the equivariant Tamagawa number conjecture (ETNC) for the pair (h(Spec(L))(r),Z[G]). The same methods can also be applied to other conjectures concerning the vanishing of certa...
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This text is an introduction to equivariant cohomology, a classical tool for topological transformation groups, and to equivariant intersection theory, a much more recent topic initiated by D. Edidin and W. Graham. It is based on lectures given at Montréal is Summer 1997. Our main aim is to obtain explicit descriptions of cohomology or Chow rings of certain manifolds with group actions which ar...
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Let S be a scheme. In this paper, we define the notion of biextensions of 1-motives by 1-motives. Moreover, if M(S) denotes the Tannakian category generated by 1-motives over S (in a geometrical sense), we define geometrically the morphisms of M(S) from the tensor product of two 1-motives M1⊗M2 to another 1-motive M3, to be the isomorphism classes of biextensions of (M1, M2) by M3: HomM(S)(M1 ⊗...
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In the preprint [19], we toyed with birational ideas in three areas of algebraic geometry: plain varieties, pure motives in the sense of Grothendieck, and triangulated motives in the sense of Voevodsky. These three themes are finally treated separately in revised versions. The first one was the object of [21]; the second one is the object of the present paper; we hope to complete the third one ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1998
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(98)80023-2