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

Ballico, Edoardo

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994), p. 63-68 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

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 $A u t (X)$ .

In questa Nota si dimostra una stima polinomiale (come funzione di $K_{X^{2}}$ ) indipendente da $p$ ) per l'ordine dei $p$ -sottogruppi di $A u t {(X)}_{r e d}$ , con $X$ superficie minimale di tipo generale definita sul campo $K$ con $c h a r (K) = p > 0$ . Si mostra anche la non esistenza di analoghe stime per la dimensione come $K$ -spazio vettoriale del fascio strutturale dello schema $A u t (X)$ .

Publié le : 1994-03-01

MR 1273894 | Zbl 0827.14028

@article{RLIN_1994_9_5_1_63_0,
     author = {Edoardo Ballico},
     title = {On the automorphisms of surfaces of general type in positive characteristic, II},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {5},
     year = {1994},
     pages = {63-68},
     zbl = {0827.14028},
     mrnumber = {1273894},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1994_9_5_1_63_0}
}

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, Tome 5 (1994) pp. 63-68. http://gdmltest.u-ga.fr/item/RLIN_1994_9_5_1_63_0/

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