Transactions of the American Mathematical Society

Author(s): Gilberto Bini; Claudio Fontanari
Journal: Trans. Amer. Math. Soc. 358 (2006), 3207-3217.
MSC (2000): Primary 14H10, 14E08
Posted: February 20, 2006
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Abstract: 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

and on computations of Kodaira dimension. Our methods are purely algebro-geometric and rely on an induction argument on the number of marked points and the genus of the curves.

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Gilberto Bini
Affiliation: Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy
Email: gilberto.bini@mat.unimi.it

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