19 citations · 35 across the 4 of their papers we have counts for
6 papers · 1 filter
The j-invariant of a plane tropical cubic
Eric Katz, Hannah Markwig, Thomas Markwig
Several results in tropical geometry have related the j-invariant of an algebraic plane curve of genus one to the cycle length of a tropical curve of genus one. In this paper, we p…
Intersecting Psi-classes on tropical M_{0,n}
Michael Kerber, Hannah Markwig
We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical cur…
An algorithm for lifting points in a tropical variety
Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig
The aim of this paper is to give a constructive proof of one of the basic theorems of tropical geometry: given a point on a tropical variety (defined using initial ideals), there e…
Kontsevich's formula and the WDVV equations in tropical geometry
Andreas Gathmann, Hannah Markwig
Using Gromov-Witten theory the numbers of complex plane rational curves of degree d through 3d-1 general given points can be computed recursively with Kontsevich's formula that fol…
The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry
Andreas Gathmann, Hannah Markwig
Some years ago Caporaso and Harris have found a nice way to compute the numbers N(d,g) of complex plane curves of degree d and genus g through 3d+g-1 general points with the help o…
The numbers of tropical plane curves through points in general position
Andreas Gathmann, Hannah Markwig
We show that the number of tropical curves of given genus and degree through some given general points in the plane does not depend on the position of the points. In the case when…