Geodesic
On the automorphisms of surfaces of general type in positive characteristic, II
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 1, pp. 63-68.

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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 \( Aut (X)_{red} \) 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 \( Aut(X) \).
In questa Nota si dimostra una stima polinomiale (come funzione di \( K_{X^{2}} \)) indipendente da \( p \)) per l'ordine dei \( p \)-sottogruppi di \( Aut (X)_{red} \), con \( X \) superficie minimale di tipo generale definita sul campo \( K \) con \( char (K) = p > 0 \). Si mostra anche la non esistenza di analoghe stime per la dimensione come \( K \)-spazio vettoriale del fascio strutturale dello schema \( Aut(X) \). 
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Ballico, Edoardo. On the automorphisms of surfaces of general type in positive characteristic, II. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 1, pp. 63-68. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_1_a7/

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