On the automorphisms of surfaces of general type in positive characteristic

Edoardo Ballico

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 2, page 121-129
  • ISSN: 1120-6330

Abstract

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Here we give an explicit polynomial bound (in term of K X 2 and not depending on the prime p ) for the order of the automorphism group of a minimal surface X of general type defined over a field of characteristic p > 0 .

How to cite

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Ballico, Edoardo. "On the automorphisms of surfaces of general type in positive characteristic." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.2 (1993): 121-129. <http://eudml.org/doc/244175>.

@article{Ballico1993,
abstract = {Here we give an explicit polynomial bound (in term of \( K^\{2\}\_\{X\} \) and not depending on the prime \( p \)) for the order of the automorphism group of a minimal surface \( X \) of general type defined over a field of characteristic \( p > 0 \).},
author = {Ballico, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Algebraic surface; Automorphism group; Chern numbers; Surfaces of general type; subgroup of automorphism group; characteristic p; minimal surface of general type},
language = {eng},
month = {6},
number = {2},
pages = {121-129},
publisher = {Accademia Nazionale dei Lincei},
title = {On the automorphisms of surfaces of general type in positive characteristic},
url = {http://eudml.org/doc/244175},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Ballico, Edoardo
TI - On the automorphisms of surfaces of general type in positive characteristic
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/6//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 2
SP - 121
EP - 129
AB - Here we give an explicit polynomial bound (in term of \( K^{2}_{X} \) and not depending on the prime \( p \)) for the order of the automorphism group of a minimal surface \( X \) of general type defined over a field of characteristic \( p > 0 \).
LA - eng
KW - Algebraic surface; Automorphism group; Chern numbers; Surfaces of general type; subgroup of automorphism group; characteristic p; minimal surface of general type
UR - http://eudml.org/doc/244175
ER -

References

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