Fano-type surfaces with large cyclic automorphisms
نویسندگان
چکیده
Abstract We give a characterisation of Fano-type surfaces with large cyclic automorphisms. As an application, we Kawamata log terminal $3$ -fold singularities class groups rank at least $2$ .
منابع مشابه
On automorphisms groups of cyclic p-gonal Riemann surfaces
In this work we obtain the group of conformal and anticonformal automorphisms of real cyclic p-gonal Riemann surfaces, where p ≥ 3 is a prime integer and the genus of the surfaces is at least (p − 1) + 1. We use Fuchsian and NEC groups, and cohomology of finite groups.
متن کاملOn Cyclic Groups of Automorphisms of Riemann Surfaces
The question of extendability of the action of a cyclic group of automorphisms of a compact Riemann surface is considered. Particular attention is paid to those cases corresponding to Singerman's list of Fuchsian groups which are not nitely-maximal, and more generally to cases involving a Fuchsian triangle group. The results provide partial answers to the question of which cyclic groups are the...
متن کاملBirationally rigid Fano cyclic covers
then V is a primitive Fano variety of dimensionM , that is, Pic V = ZKV and (−KV ) is ample. The purpose of this note is to sketch a proof of the following Theorem 1. A general (in the sense of Zariski topology) variety V is birationally superrigid. In particular, V admits no non-trivial structures of a rationally connected fibration, any birational map V 99K V ♯ onto a Fano variety with Q-fact...
متن کاملAutomorphisms of Riemann Surfaces
This paper consists of mainly two parts. First it is a survey of some results on automorphisms of Riemann surfaces and Fuchsian groups. A theorem of Hurwitz states that the maximal automorphism group of a compact Riemann surface of genus 9 has order at most 84(g-1). It is well-known that the Klein quartic is the unique genus 3 curve that attains the Hurwitz bound. We will show in the second par...
متن کاملK3 Surfaces with Interesting Groups of Automorphisms
By the fundamental result of I.I. Piatetsky-Shapiro and I.R. Shafarevich (1971), the automorphism group Aut(X) of a K3 surface X over C and its action on the Picard lattice SX are prescribed by the Picard lattice SX . We use this result and our method (1980) to show finiteness of the set of Picard lattices SX of rank ≥ 3 such that the automorphism group Aut(X) of the K3 surface X has a non-triv...
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: Forum of Mathematics, Sigma
سال: 2021
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2021.44