3 papers
math.AG2025
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…
math.AG2025
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…
math.AG2025
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…