Amy Q. Li
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View article: Chow Rings of Hurwitz Spaces with Marked Ramification
Chow Rings of Hurwitz Spaces with Marked Ramification Open
The Hurwitz space $\overline{\mathscr{H}}_{k,g}$ is a compactification of the space of smooth genus-$g$ curves with a simply-branched degree-$k$ map to $\mathbb{P}^1$. In this paper, we initiate a study of the Chow rings of these spaces, p…
View article: Holomorphic forms and non-tautological cycles on moduli spaces of curves
Holomorphic forms and non-tautological cycles on moduli spaces of curves Open
We prove, for infinitely many values of g and n , the existence of non-tautological algebraic cohomology classes on the moduli space $$\mathcal {M}_{g,n}$$ of smooth, genus- g , n -pointed curves. In particular, when $$n=0$$ , …
View article: Holomorphic forms and non-tautological cycles on moduli spaces of curves
Holomorphic forms and non-tautological cycles on moduli spaces of curves Open
We prove, for infinitely many values of $g$ and $n$, the existence of non-tautological algebraic cohomology classes on the moduli space $\mathcal{M}_{g,n}$ of smooth, genus-$g$, $n$-pointed curves. In particular, when $n=0$, our results sh…