5 papers · 1 filter
One part leaky covers
Renzo Cavalieri, Hannah Markwig, Johannes Schmitt
In our previous work [CMS24] we defined a new class of enumerative invariants called -leaky double Hurwitz descendants, generalizing both descendant integrals of double ramifica…
Quadratic Pseudostable Hodge Integrals and Mumford's Relations
Renzo Cavalieri, Matthew M. Williams
This paper studies the relationship between quadratic Hodge classes on moduli spaces of pseudostable and stable curves given by the contraction morphism While Mumfor…
Pluricanonical cycles and tropical covers
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We extract a system of numerical invariants from logarithmic intersection theory on pluricanonical double ramification cycles, and show that these invariants exhibit a number of pr…
Mass formula for non-ordinary curves in one dimensional families
Renzo Cavalieri, Rachel Pries
This paper is about one dimensional families of cyclic covers of the projective line in positive characteristic. For each such family, we study the mass formula for the number of n…
-leaky double Hurwitz descendants
Renzo Cavalieri, Hannah Markwig, Johannes Schmitt
We define a new class of enumerative invariants called -leaky double Hurwitz descendants, generalizing both descendant integrals of double ramification cycles and the -leaky…