Geodesic
Socle pairings on tautological rings
Épijournal de Géométrie Algébrique, Tome 3 (2019)

Voir la notice de l'article provenant de la source Episciences

We study some aspects of the $\lambda_g$ pairing on the tautological ring of $M_g^c$, the moduli space of genus $g$ stable curves of compact type. We consider pairing kappa classes with pure boundary strata, all tautological classes supported on the boundary, or the full tautological ring. We prove that the rank of this restricted pairing is equal in the first two cases and has an explicit formula in terms of partitions, while in the last case the rank increases by precisely the rank of the $\lambda_g\lambda_{g - 1}$ pairing on the tautological ring of $M_g$. 
@article{10_46298_epiga_2019_volume3_3784,
     author = {Janda, Felix and Pixton, Aaron},
     title = {Socle pairings on tautological rings},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {3},
     year = {2019},
     doi = {10.46298/epiga.2019.volume3.3784},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.3784/}
}
TY  - JOUR
AU  - Janda, Felix
AU  - Pixton, Aaron
TI  - Socle pairings on tautological rings
JO  - Épijournal de Géométrie Algébrique
PY  - 2019
VL  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.3784/
DO  - 10.46298/epiga.2019.volume3.3784
LA  - en
ID  - 10_46298_epiga_2019_volume3_3784
ER  - 
%0 Journal Article
%A Janda, Felix
%A Pixton, Aaron
%T Socle pairings on tautological rings
%J Épijournal de Géométrie Algébrique
%D 2019
%V 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.3784/
%R 10.46298/epiga.2019.volume3.3784
%G en
%F 10_46298_epiga_2019_volume3_3784
Janda, Felix; Pixton, Aaron. Socle pairings on tautological rings. Épijournal de Géométrie Algébrique, Tome 3 (2019). doi: 10.46298/epiga.2019.volume3.3784

Cité par Sources :