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64 papers · 1 filter
The dynamics of the Hesse derivative on the -invariant
Jake Kettinger
In this paper, we study the Hesse derivative of a cubic curve on the set of -invariants, which can be viewed as a rational function on the Riemann sphere. We then analyze the dy…
Tropical Tevelev degrees
Renzo Cavalieri, Erin Dawson
We define the tropical Tevelev degrees, , as the degree of a natural finite morphism between certain tropical moduli spaces, in analogy to the algebraic case…
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…
Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
Nathan Priddis, Mark Shoemaker, Yaoxiong Wen
We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by an…
The geproci property in positive characteristic
Jake Kettinger
The geproci property is a recent development in the world of geometry. We call a set of points an -geproci set (for GEneral PROjection is a Comple…
A combinatorial proof of the conjecture in genus 2
Taylor Rogers, Renzo Cavalieri
We give a simple combinatorial proof of the conjectue in genus 2. We use a description of the class as a linear combination of boundary strata, and show the conjecture…