Large automorphism groups of ordinary curves in characteristic 2
نویسندگان
چکیده
منابع مشابه
On large automorphism groups of algebraic curves in positive characteristic
In his investigation on large K-automorphism groups of an algebraic curve, Stichtenoth obtained an upper bound on the order of the first ramification group of an algebraic curve X defined over an algebraically closed field of characteristic p. Stichtenoth’s bound has raised the problem of classifying all K-automorphism groups G of X with the following property: There is a point P ∈ X for which ...
متن کاملOn Abelian Automorphism Groups of Mumford Curves
We use rigid analytic uniformization by Schottky groups to give a bound for the order of the abelian subgroups of the automorphism group of a Mumford curve in terms of its genus.
متن کاملSize of Families of Curves with Large Automorphism Group in Positive Characteristic
The size of the base of deformations of curves acted fiberwise by groups that exceed the classical Hurwitz bound is studied. Under the assumption that curves can be not trivially deformed together with the automorphism group the bounds for the automorphism group in positive characteristic are improved.
متن کاملAutomorphism Groups and Anti-pluricanonical Curves
We show the existence of an anti-pluricanonical curve on every smooth projective rational surface X which has an infinite group G of automorphisms of either null entropy or of type Z⋉Z, provided that the pair (X,G) is minimal. This was conjectured by Curtis T. McMullen (2005) and further traced back to Marat Gizatullin and Brian Harbourne (1987). We also prove (perhaps) the strongest form of th...
متن کاملOn the ring of invariants of ordinary quartic curves in characteristic 2
The moduli space of the ordinary non-singular quartic curves over fields of characteristic 2 is isomorphic to a certain open subset of an affine variety, whose coordinate ring in turn is given as the invariant algebra of a certain module of the finite group GL3(F2). We derive a complete description of this invariant algebra by combining theoretical analysis with application of specially tailore...
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: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2019.01.026