Descendent bounds for effective divisors on \overline{𝑀}_{𝑔}

Pandharipande, R.

doi:10.1090/S1056-3911-2010-00554-1

Descendent bounds for effective divisors on $\overline {M}_g$

Author: R. Pandharipande
Journal: J. Algebraic Geom. 21 (2012), 299-303
DOI: https://doi.org/10.1090/S1056-3911-2010-00554-1
Published electronically: January 3, 2011
MathSciNet review: 2877436
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Abstract | References | Additional Information

Abstract: The slope of $\overline {M}_g$ is bounded from below by $\frac {60}{g+4}$ via a descendent calculation.

References

C. Faber and R. Pandharipande, Hodge integrals and Gromov-Witten theory, Invent. Math. 139 (2000), no. 1, 173–199. MR 1728879, DOI https://doi.org/10.1007/s002229900028
C. Faber and R. Pandharipande, Logarithmic series and Hodge integrals in the tautological ring, Michigan Math. J. 48 (2000), 215–252. With an appendix by Don Zagier; Dedicated to William Fulton on the occasion of his 60th birthday. MR 1786488, DOI https://doi.org/10.1307/mmj/1030132716
C. Faber and R. Pandharipande, Hodge integrals, partition matrices, and the $\lambda _g$ conjecture, Ann. of Math. (2) 157 (2003), no. 1, 97–124. MR 1954265, DOI https://doi.org/10.4007/annals.2003.157.97
E. Getzler and R. Pandharipande, Virasoro constraints and the Chern classes of the Hodge bundle, Nuclear Phys. B 530 (1998), no. 3, 701–714. MR 1653492, DOI https://doi.org/10.1016/S0550-3213%2898%2900517-3
J. Harris and I. Morrison, Slopes of effective divisors on the moduli space of stable curves, Invent. Math. 99 (1990), no. 2, 321–355. MR 1031904, DOI https://doi.org/10.1007/BF01234422
Edward Witten, Two-dimensional gravity and intersection theory on moduli space, Surveys in differential geometry (Cambridge, MA, 1990) Lehigh Univ., Bethlehem, PA, 1991, pp. 243–310. MR 1144529

Additional Information

R. Pandharipande
Affiliation: Department of Mathematics, Princeton University, 406 Fine Hall, Washington Road, Princeton, New Jersey 08544-1000
MR Author ID: 357813

Received by editor(s): May 29, 2009
Received by editor(s) in revised form: December 11, 2009
Published electronically: January 3, 2011
Additional Notes: The author was partially supported by NSF grant DMS-0500187.