S. Mullane

activity

20192022

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5 papers · 1 filter

math.AG2022

Definable structures on flat bundles

Benjamin Bakker, Scott Mullane

A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note we show these two structures coinci…

math.AG2020

Non-polyhedral effective cones from the moduli space of curves

Scott Mullane

We show that the pseudoeffective cone of divisors $Eff^{1} (M_{g, n})$ for $g \geq 2$ and $n \geq 2$ is not polyhedral by showing that the class of…

math.AG2019

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 $g = 0$ …

math.AG2019

$k$ -differentials on curves and rigid cycles in moduli space

Scott Mullane

For $g \geq 2$ , $j = 1, \dots, g$ and $n \geq g + j$ we exhibit infinitely many new rigid and extremal effective codimension $j$ cycles in $M_{g, n}$ from the strata of…

math.AG2019

Two moduli spaces of Calabi-Yau type

Ignacio Barros, Scott Mullane

We show $M_{10, 10}$ and $F_{11, 9}$ have Kodaira dimension zero. Our method relies on the construction of a number of curves via nodal Lefschetz penci…

Definable structures on flat bundles

Non-polyhedral effective cones from the moduli space of curves

Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces

k-differentials on curves and rigid cycles in moduli space

Two moduli spaces of Calabi-Yau type

$k$ -differentials on curves and rigid cycles in moduli space