most citedThe integral Picard groups of low-degree Hurwitz spaces

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math.AG2022

The bielliptic locus in genus 11

Samir Canning, Hannah Larson

The Chow ring of is known to be generated by tautological classes for . Meanwhile, the first example of a non-tautological class on is t…

math.AG2021★ 1 cited

The integral Picard groups of low-degree Hurwitz spaces

Samir Canning, Hannah Larson

We compute the Picard groups with integral coefficients of the Hurwitz stacks parametrizing degree and covers of . As a consequence, we also determine the int…

math.AG2021

The Chow rings of moduli spaces of elliptic surfaces over

Samir Canning, Bochao Kong

Let denote the coarse moduli space of smooth elliptic surfaces over with fundamental invariant . We compute the Chow ring for . For each…

math.AG2021

Chow rings of low-degree Hurwitz spaces

Samir Canning, Hannah Larson

While there is much work and many conjectures surrounding the intersection theory of the moduli space of curves, relatively little is known about the intersection theory of the Hur…

math.AG2021

Tautological classes on low-degree Hurwitz spaces

Samir Canning, Hannah Larson

Let be the Hurwitz stack parametrizing degree , genus covers of . We define the tautological ring of and we show that a…

math.AG2020

On a Conjecture on the Variety of Lines on a Fano Complete Intersection

Samir Canning

The Debarre-de Jong conjecture predicts that the Fano variety of lines on a smooth Fano hypersurface in is always of the expected dimension. We generalize this conje…