On the automorphisms of surfaces of general type in positive characteristic, II

Edoardo Ballico

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1994)

  • Volume: 5, Issue: 1, page 63-68
  • ISSN: 1120-6330

Abstract

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Here we give an upper polynomial bound (as function of K X 2 but independent on p ) for the order of a p -subgroup of A ⁢ u ⁢ t ⁢ X r ⁢ e ⁢ d with X minimal surface of general type defined over the field K with c ⁢ h ⁢ a ⁢ r ⁢ K = p > 0 . Then we discuss the non existence of similar bounds for the dimension as K -vector space of the structural sheaf of the scheme A ⁢ u ⁢ t ⁢ X .

How to cite

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Ballico, Edoardo. "On the automorphisms of surfaces of general type in positive characteristic, II." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 5.1 (1994): 63-68. <http://eudml.org/doc/244128>.

@article{Ballico1994,
abstract = {Here we give an upper polynomial bound (as function of \( K\_\{X^\{2\}\} \) but independent on \( p \)) for the order of a \( p \)-subgroup of \( Aut (X)\_\{red\} \) with \( X \) minimal surface of general type defined over the field \( K \) with \( char (K) = p > 0 \). Then we discuss the non existence of similar bounds for the dimension as \( K \)-vector space of the structural sheaf of the scheme \( Aut(X) \).},
author = {Ballico, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Surfaces of general type; Automorphism group; Group scheme; p-group; characteristic ; minimal surfaces of general type},
language = {eng},
month = {3},
number = {1},
pages = {63-68},
publisher = {Accademia Nazionale dei Lincei},
title = {On the automorphisms of surfaces of general type in positive characteristic, II},
url = {http://eudml.org/doc/244128},
volume = {5},
year = {1994},
}

TY - JOUR
AU - Ballico, Edoardo
TI - On the automorphisms of surfaces of general type in positive characteristic, II
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1994/3//
PB - Accademia Nazionale dei Lincei
VL - 5
IS - 1
SP - 63
EP - 68
AB - Here we give an upper polynomial bound (as function of \( K_{X^{2}} \) but independent on \( p \)) for the order of a \( p \)-subgroup of \( Aut (X)_{red} \) with \( X \) minimal surface of general type defined over the field \( K \) with \( char (K) = p > 0 \). Then we discuss the non existence of similar bounds for the dimension as \( K \)-vector space of the structural sheaf of the scheme \( Aut(X) \).
LA - eng
KW - Surfaces of general type; Automorphism group; Group scheme; p-group; characteristic ; minimal surfaces of general type
UR - http://eudml.org/doc/244128
ER -

References

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