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math.AG2019★ 1 cited
Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces
Scott Mullane
We consider two applications of the strata of differentials of the second kind (all residues equal to zero) with fixed multiplicities of zeros and poles: Positivity: In genus …
math.AG2019
-differentials on curves and rigid cycles in moduli space
Scott Mullane
For , and we exhibit infinitely many new rigid and extremal effective codimension cycles in from the strata of…
math.AG2019
Two moduli spaces of Calabi-Yau type
Ignacio Barros, Scott Mullane
We show and have Kodaira dimension zero. Our method relies on the construction of a number of curves via nodal Lefschetz penci…