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math.AG2020
An asymptotic Alexander-Hirschowitz theorem for surfaces
Carl Lian
Let X be a smooth projective surface over C and let L be an ample line bundle on X. In this note, we show that, for all sufficiently large d, any number of general double points on…
math.AG2020
The H-tautological ring
Carl Lian
We extend the theory of tautological classes on moduli spaces of stable curves to the more general setting of moduli spaces of admissible Galois covers of curves, introducing the s…
math.AG2020
d-elliptic loci in genus 2 and 3
Carl Lian
We consider the loci of curves of genus 2 and 3 admitting a -to-1 map to a genus 1 curve. After compactifying these loci via admissible covers, we obtain formulas for their Chow…