Automorphisms of hyperelliptic GAG-codes

نویسندگان

  • Alberto Picone
  • Antonino Giorgio Spera
چکیده

We determine the n−automorphism group of generalized algebraic-geometry codes associated with rational, elliptic and hyperelliptic function fields. Such group is, up to isomorphism, a subgroup of the automorphism group of the underlying function field.

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

7 Exceptional Points in the Elliptic - Hyperelliptic Locus

An exceptional point in moduli space is a unique surface class whose full group of conformal automorphisms acts with a triangular signature. In this paper we determine, up to topological conjugacy, the full group of conformal and anticonformal automorphisms of a symmetric exceptional point in the elliptic-hyperelliptic locus in moduli space. We determine the number of ovals of any symmetry of s...

متن کامل

Automorphisms of Curves Fixing the Order Two Points of the Jacobian

Let X be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic different from two. If X admits a nontrivial automorphism σ that fixes pointwise all the order two points of Pic(X), then we prove that X is hyperelliptic with σ being the unique hyperelliptic involution. As a corollary, if a nontrivial automorphisms σ of X fixes ...

متن کامل

Real Theta Characteristics and Automorphisms of a Real Curve

Let X be a geometrically irreducible smooth projective curve, defined over R, of genus at least two that admits nontrivial automorphisms. Fix a nontrivial automorphism σ of X. Assume that X does not have any real points. Then σ acts trivially on the set of all real theta characteristics of X if and only if X is hyperelliptic with σ being the unique hyperelliptic involution of X. Examples are gi...

متن کامل

The 2-Ranks of Hyperelliptic Curves with Extra Automorphisms

This paper examines the relationship between the automorphism group of a hyperelliptic curve defined over an algebraically closed field of characteristic two and the 2-rank of the curve. In particular, we exploit the wild ramification to use the Deuring-Shafarevich formula in order to analyze the ramification of hyperelliptic curves that admit extra automorphisms and use this data to impose res...

متن کامل

Varieties without Extra Automorphisms Ii: Hyperelliptic Curves

For any field k and integer g ≥ 2, we construct a hyperelliptic curve X over k of genus g such that #(AutX) = 2. We also prove the existence of principally polarized abelian varieties (A, θ) over k of prescribed dimension g ≥ 1 such that Aut(A, θ) = {±1}.

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:
  • Discrete Mathematics

دوره 309  شماره 

صفحات  -

تاریخ انتشار 2006