The generalized Cassels-Tate dual exact sequence for 1-motives

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Yoga of the Cassels-tate Pairing

Cassels has described a pairing on the 2-Selmer group of an elliptic curve which shares some properties with the Cassels-Tate pairing. In this article, we prove that the two pairings are the same.

متن کامل

The Cassels-Tate pairing on polarized abelian varieties

Let (A,λ) be a principally polarized abelian variety defined over a global field k, and let ∐∐(A) be its Shafarevich-Tate group. Let ∐∐(A)nd denote the quotient of ∐∐(A) by its maximal divisible subgroup. Cassels and Tate constructed a nondegenerate pairing ∐∐(A)nd ×∐∐(A)nd → Q/Z . If A is an elliptic curve, then by a result of Cassels the pairing is alternating. But in general it is only antis...

متن کامل

The Cassels–Tate Pairing and work of Poonen–Stoll

〈·, ·〉A : X(A)×X(A∨)→ Q/Z such that X(A)div annhilates X(A∨) and vice-versa with the roles of A and A∨ swapped, and the induced pairing X(A)nd ×X(A)nd → Q/Z will be perfect in the sense that the annihilator of each side of the pairing vanishes in the other side. (It is known that for each prime `, the `-primary part of X(A)nd is finite.) Moreover, for any symmetric isogeny φ : A→ A∨ (e.g. a pol...

متن کامل

A Tate cohomology sequence for generalized Burnside rings

We generalize the fundamental theorem for Burnside rings to the mark morphism of plus constructions defined by Boltje. The main observation is the following: If D is a restriction functor for a finite group G, then the mark morphism φ : D+ → D is the same as the norm map of the Tate cohomology sequence (over conjugation algebra for G) after composing with a suitable isomorphism of D. As a conse...

متن کامل

The slice filtration and mixed Tate motives

Using the ”slice filtration”, defined by effectivity conditions on Voevodsky’s triangulated motives, we define spectral sequences converging to their motivic cohomology and étale motivic cohomology. These spectral sequences are particularly interesting in the case of mixed Tate motives as their E2-terms then have a simple description. In particular this yields spectral sequences converging to t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2009

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2009.v16.n5.a6