منابع مشابه
Mumford-tate Groups
Much of the use of Mumford-Tate groups has been in the classical case of weight one polarized Hodge structures (theory of Shimura varieties). Since this topic will be covered elsewhere in the summer school, this set of lectures will emphasize the non-classical, higher weight case which is much less explored. The first four of these lectures will be largely self-contained, making use of the lect...
متن کاملThe Tate conjecture
The purpose of the conference was to bring experts together in various aspects of the Tate conjecture to synthesize the various approaches and prepare the ground for further advances. Since the conjecture was posed in 1963, there have been periods of great activity followed by more fallow periods. The first active period was in the mid 1960’s, when Tate, himself, proved that for an abelian vari...
متن کاملOn Tate Local Duality
Let Fq be a finite field, and let g be its absolute Galois group. Hence g ∼= Ẑ, topologically generated by the Frobenius automorphism. Let A be a topological g−module, i.e. for each a ∈ A there is a positive integer n such that Frobn a = a (for us A will be either an elliptic curve or some torsion group). Thus the group A is the union of its subgroups Agn , the latter being g/gn-module, where g...
متن کاملDeresonating a Tate Period
We introduce a technique to compute monodromy periods in certain families of algebraic varieties by perturbing (‘deresonating’) the fiberwise Betti to de Rham comparison off the motivic setting. As an application, we find Apery periods of Grassmannians G(2, N) and identify the Apery numbers for the equations D3 of the Mukai threefolds with certain L–values. We show that the argument of the L–fu...
متن کاملImplementing the Tate Pairing
The Weil and Tate pairings have found several new applications in cryptography. To eÆciently implement these cryptosystems it is necessary to optimise the computation time for the Tate pairing. This paper provides methods to achieve fast computation of the Tate pairing. We also give division-free formulae for point tripling on a family of elliptic curves in characteristic three. Examples of the...
متن کاملذخیره 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: Advances in Archaeological Practice
سال: 2016
ISSN: 2326-3768
DOI: 10.7183/2326-3768.4.3.410