Principal Bundles Over Finite Fields
نویسندگان
چکیده
منابع مشابه
Principal Bundles over Statistical Manifolds
In this paper, we introduce the concept of principal bundles on statistical manifolds. After necessary preliminaries on information geometry and principal bundles on manifolds, we study the α-structure of frame bundles over statistical manifolds with respect to α-connections, by giving geometric structures. The manifold of one-dimensional normal distributions appears in the end as an applicatio...
متن کاملGrothendieck Groups of Bundles on Varieties over Finite Fields
Let X be an irreducible, projective variety over a finite field, and let A be a sheaf of rings on X. In this paper, we study Grothendieck groups of categories of vector bundles over certain types of ringed spaces (X,A). Mathematics Subject Classifications (2000): 11-XX, 19-XX, 14-XX, 13-XX.
متن کاملClassical Wavelet Transforms over Finite Fields
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...
متن کاملClassical wavelet systems over finite fields
This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...
متن کاملOn Principal Bundles over a Projective Variety Defined over a Finite Field
Let M be a geometrically irreducible smooth projective variety, defined over a finite field k, such that M admits a k–rational point x0. Let ̟(M,x0) denote the corresponding fundamental group–scheme introduced by Nori. Let EG be a principal G–bundle over M , where G is a reduced reductive linear algebraic group defined over the field k. Fix a polarization ξ on M . We prove that the following thr...
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: Communications in Algebra
سال: 2011
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2010.480962