Gilberto Bini

Learn More
Codes over Galois Ring Gilberto Bini We shall briefly recall some basic facts on trace codes over finite fields. In particular, we will focus on generalizations of dual Melas codes. After such an overview, we will introduce the Galois ring set-up in which we try to extend some of the techniques over fields. For these purposes, we need some results on(More)
On the moduli space of curves we consider the cohomology classes μj(s), s ∈ N, s ≥ 2, which can be viewed as a generalization of the Hodge classes λi defined by Mumford in [6]. Following the methods used in this paper, we prove that the μj(s) belong to the tautological ring of the moduli space. MSC 2000: 14H10 (primary); 14C40, 19L10, 19L64 (secondary)
As pointed out in Arbarello and Cornalba (J. Alg. Geom. 5 (1996), 705–749), a theorem due to Di Francesco, Itzykson, and Zuber (see Di Francesco, Itzykson, and Zuber, Commun. Math. Phys. 151 (1993), 193–219) should yield new relations among cohomology classes of the moduli space of pointed curves. The coefficients appearing in these new relations can be(More)