The Gorenstein conjecture fails for the tautological ring of $\mathcal{\overline{M}}

The Gorenstein conjecture fails for the tautological ring of $\mathcal{\overline{M}}_{2,n}$

Published:2013-04-19 Issue:1 Volume:196 Page:139-161
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Petersen Dan,Tommasi Orsola

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00222-013-0466-z.pdf

Reference49 articles.

1. Behrend, K.A.: The Lefschetz trace formula for algebraic stacks. Invent. Math. 112(1), 127–149 (1993). doi: 10.1007/BF01232427

2. Astérisque;A.A. Beĭlinson,1982

3. Bergström, J., Faber, C., van der Geer, G.: Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Int. Math. Res. Not. 2008, 100 (2008)

4. Bergström, J., Faber, C., van der Geer, G.: Siegel modular forms of degree three and the cohomology of local systems. Preprint available at arXiv:1108.3731 (2011)

5. Cavalieri, R., Yang, S.: Tautological pairings on moduli spaces of curves. Proc. Am. Math. Soc. 139(1), 51–62 (2011). doi: 10.1090/S0002-9939-2010-10619-6

Cited by 16 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. Tautological classes with twisted coefficients;Annales scientifiques de l'École Normale Supérieure;2021

2. Intersections of loci of admissible covers with tautological classes;Selecta Mathematica;2020-11

3. Cohomological field theories with non-tautological classes;Arkiv för Matematik;2019

4. Tautological classes on the moduli space of hyperelliptic curves with rational tails;Journal of Pure and Applied Algebra;2018-08

5. A calculus for the moduli space of curves;Algebraic Geometry: Salt Lake City 2015;2018-06-01