Weil representations over finite fields and Shintani lift

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

2 . Points over Finite Fields and the Weil Conjectures

In this chapter we will relate the topology of smooth projective varieties over the complex numbers with counting points over finite fields, via the Weil conjectures. If X is a variety defined over a finite field Fq, one can count its points over the various finite extensions of Fq; denote Nm = |X(Fmq )| (for instance, if X ⊂ AnFq is affine, given by equations f1, . . . , fk, then Nm = |{x ∈ Fm...

متن کامل

Weil conjectures for abelian varieties over finite fields

This is an expository paper on zeta functions of abelian varieties over finite fields. We would like to go through how zeta function is defined, and discuss the Weil conjectures. The main purpose of this paper is to fill in more details to the proofs provided in Milne. Subject to length constrain, we will not include a detailed proof for Riemann hypothesis in this paper. We will mainly be follo...

متن کامل

Curves over Finite Fields Attaining the Hasse-Weil Upper Bound

Curves over finite fields (whose cardinality is a square) attaining the Hasse-Weil upper bound for the number of rational points are called maximal curves. Here we deal with three problems on maximal curves: 1. Determination of the possible genera of maximal curves. 2. Determination of explicit equations for maximal curves. 3. Classification of maximal curves having a fixed genus.

متن کامل

Representations of Reductive Groups Over Finite Fields

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Annals of Mathematics is collaborating with JSTOR to digit...

متن کامل

Finite Weil-representations and associated Hecke-algebras

1 An algebra H(Gm) of double-cosets is constructed for every finite Weilrepresentation Gm. For the Clifford-Weil groups Gm = Cm(ρ) associated to some classical Type ρ of self-dual codes over a finite field, this algebra is shown to be commutative. Then the eigenspace-decomposition ofH(Cm(ρ)) acting on the space of degree N invariants of Cm(ρ) may be obtained from the kernels of powers of the co...

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: Journal of Algebra

سال: 2013

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2013.05.004