Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Let M-n(F) be the algebra of n x n matrices over a field F of characteristic zero. The superinvolutions * on M-n(F) were classified by Racine in [12]. They are of two types, the transpose and the orthosymplectic superinvolution. This paper is devoted to the study of *-polynomial identities satisfied by M-n(F). The goal is twofold. On one hand, we determine the minimal degree of a standard polynomial vanishing on suitable subsets of symmetric or skew-symmetric matrices for both types of superinvolutions. On the other, in case of M-2(F), we find generators of the ideal of *-identities and we compute the corresponding sequences of cocharacters and codimensions. (C) 2016 Elsevier Inc. All rights reserved.504272291GNSAGA-INDAMPNPD from Capes, BrazilCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)