activity
20112026
most citedSkeletons of stable maps I: Rational curves in toric varieties

37 citations · 164 across the 30 of their papers we have counts for

collaborators
Showing 2017 · math.AGShow all

5 papers · 2 filters

math.AG2017★ 6 cited

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…

math.AG2017★ 18 cited

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--…

math.AG2017★ 31 cited

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…

math.AG2017

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…

math.AG2017

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…