35 citations · 88 across the 19 of their papers we have counts for
4 papers · 1 filter
Polynomial point counts for moduli spaces of curves with marked points
Sam Payne, Thomas Willwacher
We prove that the number of curves of a fixed genus g with n marked points over finite fields is a polynomial function of the cardinality of the field if and only if g = 0 or 3g +…
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…
The motivic structures and in the cohomology of moduli spaces of curves
Samir Canning, Hannah Larson, Sam Payne +1
We study the appearances of and in the weight-graded compactly supported cohomology of moduli spaces of curves. As applications, we prove new n…
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…