Quotient Curves of the Deligne-lusztig Curve of Suzuki Type

نویسنده

  • MASSIMO GIULIETTI
چکیده

Inspired by a recent paper of Garcia, Stichtenoth and Xing [2000, Compositio Math. 120, 137–170], we investigate the quotient curves of the Deligne-Lusztig curve associated to the Suzuki group Sz(q).

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Deligne-lusztig Curve Associated to the Suzuki Group

We give a characterization of the Deligne-Lusztig curve associated to the Suzuki group Sz(q) based on the genus and the number of Fq-rational points of the curve. §0. Throughout this paper by a curve we mean a projective, geometrically irreducible, and non-singular algebraic curve defined over the finite field Fq with q elements. Let Nq(g) denote the maximum number of Fq-rational points that a ...

متن کامل

Canonical Projective Embeddings of the Deligne - Lusztig Curves Associated to 2 A

The Deligne-Lusztig varieties associated to the Coxeter classes of the algebraic groups A2, B2 and G2 are affine algebraic curves. We produce explicit projective models of the closures of these curves. Furthermore for d the Coxeter number of these groups, we find polynomials for each of these models that cut out the Fq-points, the Fqd -points and the Fqd+1 points, and demonstrate a relation sat...

متن کامل

Notes on the construction of the moduli space of curves

The purpose of these notes is to discuss the problem of moduli for curves of genus g ≥ 3 1 and outline the construction of the (coarse) moduli scheme of stable curves due to Gieseker. The notes are broken into 4 parts. In Section 1 we discuss the general problem of constructing a moduli “space” of curves. We will also state results about its properties, some of which will be discussed in the se...

متن کامل

On the Order Sequence of an Embedding of the Ree Curve

In this paper we compute the Weierstrass order-sequence associated to a certain linear series on the Deligne-Lusztig curve of Ree type. As a result, we determine that the set of Weierstrass points of this linear series consists entirely of rational points.

متن کامل

On Weierstrass Points and Optimal Curves

We use Weierstrass Point Theory and Frobenius orders to prove the uniqueness (up to isomorphism) of some optimal curves. This paper continues the study, begun in [FT] and [FGT], of curves over finite fields with many rational points, based on Stöhr-Voloch’s approach [SV] to the Hasse-Weil bound by way of Weierstrass Point Theory and Frobenius orders. Some of the results were announced in [T]. A...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002