37 citations · 164 across the 30 of their papers we have counts for
7 papers · 1 filter
Motivic Hilbert zeta functions of curves are rational
Dori Bejleri, Dhruv Ranganathan, Ravi Vakil
The motivic Hilbert zeta function of a variety is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points of the variety. In this pap…
Moduli of stable maps in genus one and logarithmic geometry II
Dhruv Ranganathan, Keli Santos-Parker, Jonathan Wise
This is the second in a pair of papers developing a framework to apply logarithmic methods in the study of singular curves of genus . This volume focuses on logarithmic Gromov--…
Incidence geometry and universality in the tropical plane
Milo Brandt, Michelle Jones, Catherine Lee +1
We examine the incidence geometry of lines in the tropical plane. We prove tropical analogs of the Sylvester-Gallai and Motzkin-Rabin theorems in classical incidence geometry. This…
Topology of tropical moduli of weighted stable curves
Alois Cerbu, Steffen Marcus, Luke Peilen +2
The moduli space of tropical -weighted stable curves of volume is naturally identified with the dual complex of the divisor of singular curves in Hassett's spaces…
Moduli of stable maps in genus one and logarithmic geometry I
Dhruv Ranganathan, Keli Santos-Parker, Jonathan Wise
This is the first in a pair of papers developing a framework for the application of logarithmic structures in the study of singular curves of genus . We construct a smooth and p…
Counting curves on Hirzebruch surfaces: tropical geometry and the Fock space
Renzo Cavalieri, Paul Johnson, Hannah Markwig +1
We study the stationary descendant Gromov-Witten theory of toric surfaces by combining and extending a range of techniques - tropical curves, floor diagrams, and Fock spaces. A cor…
Brill-Noether theory for curves of a fixed gonality
David Jensen, Dhruv Ranganathan
We prove a generalization of the Brill-Noether theorem for the variety of special divisors on a general curve of prescribed gonality. Our main theorem gives a closed…