# Intersection-theoretical computations on ${verlineM}_{g}$

Banach Center Publications (1996)

- Volume: 36, Issue: 1, page 71-81
- ISSN: 0137-6934

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topFaber, Carel. "Intersection-theoretical computations on ${verline M}_{g}$." Banach Center Publications 36.1 (1996): 71-81. <http://eudml.org/doc/208584>.

@article{Faber1996,

abstract = {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].},

author = {Faber, Carel},

journal = {Banach Center Publications},

keywords = {intersection theory of the moduli space of curves; ample divisors; curves of low genus; Chow ring; Witten conjecture; Schottky locus},

language = {eng},

number = {1},

pages = {71-81},

title = {Intersection-theoretical computations on $\{verline M\}_\{g\}$},

url = {http://eudml.org/doc/208584},

volume = {36},

year = {1996},

}

TY - JOUR

AU - Faber, Carel

TI - Intersection-theoretical computations on ${verline M}_{g}$

JO - Banach Center Publications

PY - 1996

VL - 36

IS - 1

SP - 71

EP - 81

AB - 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].

LA - eng

KW - intersection theory of the moduli space of curves; ample divisors; curves of low genus; Chow ring; Witten conjecture; Schottky locus

UR - http://eudml.org/doc/208584

ER -

## References

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- [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.
- [Ko] M. Kontsevich, Intersection Theory on the Moduli Space of Curves and the Matrix Airy Function, Comm. Math. Phys. 147 (1992), 1-23. Zbl0756.35081
- [Liu] Qing Liu, Courbes stables de genre 2 et leur schéma de modules, Math. Ann. 295 (1993), 201-222.
- [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. Zbl0554.14008
- [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.
- [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.

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