In this paper we explore several concrete problems, all more or less related to the intersection theory of the moduli space of (stable) curves, introduced by Mumford [Mu 1].
@article{bwmeta1.element.bwnjournal-article-bcpv36z1p71bwm, author = {Faber, Carel}, title = {Intersection-theoretical computations on ${verline M}\_{g}$ }, journal = {Banach Center Publications}, volume = {37}, year = {1996}, pages = {71-81}, zbl = {0870.14018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv36z1p71bwm} }
Faber, Carel. Intersection-theoretical computations on ${verline M}_{g}$ . Banach Center Publications, Tome 37 (1996) pp. 71-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv36z1p71bwm/
[000] [A-C] E. Arbarello and M. Cornalba, The Picard groups of the moduli spaces of curves, Topology 26 (1987), 153-171. | Zbl 0625.14014
[001] [BCOV] M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes, Comm. Math. Phys. 165 (1994), 311-428. | Zbl 0815.53082
[002] [C-H] M. Cornalba and J. Harris, Divisor classes associated to families of stable varieties, with applications to the moduli space of curves, Ann. Scient. École Norm. Sup. (4) 21 (1988), 455-475. | Zbl 0674.14006
[003] [Fa 1] C. Faber, Chow rings of moduli spaces of curves I: The Chow ring of , Ann. of Math. 132 (1990), 331-419. | Zbl 0721.14013
[004] [Fa 2] C. Faber, Chow rings of moduli spaces of curves II: Some results on the Chow ring of , Ann. of Math. 132 (1990), 421-449. | Zbl 0735.14021
[005] [Fa 3] C. Faber, Some results on the codimension-two Chow group of the moduli space of curves, in: Algebraic Curves and Projective Geometry (eds. E. Ballico and C. Ciliberto), Lecture Notes in Math. 1389, Springer, Berlin, 1988, 66-75.
[006] [Ha] R. Hartshorne, Ample Subvarieties of Algebraic Varieties, Lecture Notes in Math. 156, Springer, Berlin, 1970. | Zbl 0208.48901
[007] [Hi 1] F. Hirzebruch, Automorphe Formen und der Satz von Riemann-Roch, in: Symposium Internacional de Topologí a Algebraica (México 1956), Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, 129-144; or: Gesammelte Abhandlungen, Band I, Springer, Berlin, 1987, 345-360.
[008] [Hi 2] F. Hirzebruch, Characteristic numbers of homogeneous domains, in: Seminars on analytic functions, vol. II, IAS, Princeton 1957, 92-104; or: Gesammelte Abhandlungen, Band I, Springer, Berlin, 1987, 361-366.
[009] [Ko] M. Kontsevich, Intersection Theory on the Moduli Space of Curves and the Matrix Airy Function, Comm. Math. Phys. 147 (1992), 1-23. | Zbl 0756.35081
[010] [Liu] Qing Liu, Courbes stables de genre 2 et leur schéma de modules, Math. Ann. 295 (1993), 201-222.
[011] [Mu 1] D. Mumford, Towards an enumerative geometry of the moduli space of curves, in: Arithmetic and Geometry II (eds. M. Artin and J. Tate), Progr. Math. 36 (1983), Birkhäuser, 271-328. | Zbl 0554.14008
[012] [Mu 2] D. Mumford, On the Kodaira Dimension of the Siegel Modular Variety, in: Algebraic Geometry-Open Problems (eds. C. Ciliberto, F. Ghione and F. Orecchia), Lecture Notes in Math. 997, Springer, Berlin, 1983, 348-375.
[013] [Wi] E. Witten, Two dimensional gravity and intersection theory on moduli space, in: Surveys in Differential Geometry (Cambridge, MA, 1990), Lehigh Univ., Bethlehem, PA, 1991, 243-310.