Samir Canning

activity

20202026

most citedThe Chow rings of the moduli spaces of curves of genus 7, 8, and 9

10 citations · 19 across the 22 of their papers we have counts for

collaborators

Showing 2024Show all

6 papers · 1 filter

math.AG2024

The motivic structures $LS_{12}$ and $S_{16}$ in the cohomology of moduli spaces of curves

Samir Canning, Hannah Larson, Sam Payne +1

We study the appearances of $LS_{12}$ and $S_{16}$ in the weight-graded compactly supported cohomology of moduli spaces of curves. As applications, we prove new n…

math.AG2024

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…

math.AG2024

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 $A_{g}$ of principally polarized abelian varieties of dimension $g$ was defined and calculated by van der Geer in 1999. By st…

math.AG2024

The tautological ring of $M_{g, n}$ is rarely Gorenstein

Samir Canning

We prove that the tautological rings $R^{*} (M_{g, n})$ and $RH^{*} (M_{g, n})$ are not Gorenstein when $g \geq 2$ and $2g+n\geq…

math.AG2024★ 1 cited

Holomorphic forms and non-tautological cycles on moduli spaces of curves

Veronica Arena, Samir Canning, Emily Clader +4

We prove, for infinitely many values of $g$ and $n$ , the existence of non-tautological algebraic cohomology classes on the moduli space $M_{g, n}$ of smooth, genus- $g$ , $n…

math.AG2024

Tautological projection for cycles on the moduli space of abelian varieties

Samir Canning, Sam Molcho, Dragos Oprea +1

We define a tautological projection operator for algebraic cycle classes on the moduli space of principally polarized abelian varieties $A_{g}$ : every cycle class decompose…

The motivic structures LS12​ and S16​ in the cohomology of moduli spaces of curves

Moduli spaces of curves with polynomial point counts

Tautological and non-tautological cycles on the moduli space of abelian varieties

The tautological ring of Mg,n​ is rarely Gorenstein

Holomorphic forms and non-tautological cycles on moduli spaces of curves

Tautological projection for cycles on the moduli space of abelian varieties

The motivic structures $LS_{12}$ and $S_{16}$ in the cohomology of moduli spaces of curves

The tautological ring of $M_{g, n}$ is rarely Gorenstein