Moduli of curves and spin structures via algebraic geometry-Reference-Cited by-同舟云学术

Moduli of curves and spin structures via algebraic geometry

Published:2006-02-20 Issue:7 Volume:358 Page:3207-3217
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bini Gilberto,Fontanari Claudio

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 ( p , 0 ) (p,0) 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-07/S0002-9947-06-03838-4/S0002-9947-06-03838-4.pdf

Reference28 articles.

1. Moduli of twisted spin curves;Abramovich, Dan;Proc. Amer. Math. Soc.,2003

2. The Picard groups of the moduli spaces of curves;Arbarello, Enrico;Topology,1987

3. Calculating cohomology groups of moduli spaces of curves via algebraic geometry;Arbarello, Enrico;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1998

4. Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves;Arbarello, Enrico;J. Algebraic Geom.,1996

5. Belorousski, P.: Chow rings of moduli spaces of pointed elliptic curves. Ph.D. thesis, Chicago, 1998.

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Holomorphic differential forms on moduli spaces of stable curves;Geometriae Dedicata;2023-10-24

2. On the unirationality of moduli spaces of pointed curves;Mathematische Zeitschrift;2021-04-28

3. Tropicalizing the moduli space of spin curves;Selecta Mathematica;2020-02

4. Moduli of abelian covers of elliptic curves;Journal of Pure and Applied Algebra;2016-03

5. Uniruledness of some moduli spaces of stable pointed curves;Journal of Pure and Applied Algebra;2014-03