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The conference " Coding Theory " intended to be a platform where the rather inhomo-geneous coding community could exchange ideas. Both the engineers could present their mathematical problems and the mathematicians could report their progress. The result was a lively meeting with an open exchange of ideas and lots of discussion. Madhu Sudan presented his… (More)

- GILBERTO BINI
- 2004

For a partition λ = {λ1 ≥ λ2 ≥ λ3 ≥ 0} of non-negative integers, we calculate the Euler characteristic of the local system V λ on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some λ of low degree, we make a guess for the motivic Euler characteristic of V λ using counting curves over finite fields.

- G. BINI
- 2008

These are the informal notes of two seminars held at the Università di Roma " La Sapienza " , and at the Scuola Normale Superiore in Pisa in Spring and Autumn 1997. We discuss in detail the content of the parts of Givental's paper [G1] dealing with mirror symmetry for projective complete intersections.

- Gilberto Bini, John Harer
- 1986

Let M n g be the moduli space of n-pointed Riemann surfaces of genus g. Denote by M n g the Deligne-Mumford compactification of M n g. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of M n g for any g and n such that n > 2 − 2g.

In this paper we compute the generating function for the Euler characteristic of the Deligne-Mumford compactification of the moduli space of smooth n-pointed genus 2 curves. The proof relies on quite elementary methods , such as the enumeration of the graphs involved in a suitable stratification of M 2,n .

Here we investigate some birational properties of two collections of moduli spaces, namely moduli spaces of (pointed) stable curves and of (pointed) spin curves. In particular, we focus on vanishings of Hodge numbers of type (p, 0) and on computations of the Kodaira dimension. Our methods are purely algebro-geometric and rely on an induction argument on the… (More)

- GILBERTO BINI
- 2009

In [1] some quotients of one-parameter families of Calabi-Yau varieties are related to the family of Mirror Quintics by using a construction due to Shioda. In this paper, we generalize this construction to a wider class of varieties. More specifically, let A be an invertible matrix with non-negative integer entries. We introduce varieties X A and M A in… (More)

We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine H k (S g , Q) for g ≥ 0 and k ≤ 3, where S g denotes the moduli space of spin curves of genus g.

We focus on the rational cohomology of Cornalba's moduli space of spin curves of genus 1 with n marked points. In particular, we show that both its first and its third cohomology group vanish and the second cohomology group is generated by boundary classes.

The classical Hurwitz Enumeration Problem has a presentation in terms of transitive factorisations in the symmetric group. This presentation suggests a generalization from type A to other £nite re¤ection groups and, in particular, to type B. We study this generalization both from a combinatorial and a geometric point of view, with the prospect of providing… (More)