8 papers
The Gorenstein property and Pixton's conjecture for compact type moduli
Samir Canning, Hannah Larson, Johannes Schmitt
We show that the tautological ring of is not Gorenstein for and . We prove new cases of Pixton's conjecture that the -sp…
Torelli loci, product cycles, and the homomorphism conjecture for
Samir Canning, Lycka Drakengren, Jeremy Feusi +7
The tautological -subalgebra of the Chow ring of the moduli space of principally polarized abelian va…
Moduli spaces of curves with polynomial point counts
Samir Canning, Hannah Larson, Sam Payne +1
We prove that the number of curves of a fixed genus g over finite fields is a polynomial function of the size of the field if and only if g is at most 8. Furthermore, we determine…
The low degree cohomology of compactifications of
Samir Canning, Dan Petersen, Olivier Taïbi
We compute the low degree -adic intersection cohomology of symplectic local systems on the Satake compactification of the moduli space of principally polarized abelian…
FA-modules of holomorphic forms on
Samir Canning, Hannah Larson, Sam Payne +1
For fixed genus g and varying finite marking set A, the gluing and forgetful maps give the spaces of holomorphic forms on the moduli space of stable A-marked curves of genus g has…
Tautological and non-tautological cycles on the moduli space of abelian varieties
Samir Canning, Dragos Oprea, Rahul Pandharipande
The tautological Chow ring of the moduli space of principally polarized abelian varieties of dimension was defined and calculated by van der Geer in 1999. By st…