24 citations · 24 across the 2 of their papers we have counts for
6 papers
Refined broccoli invariants
Lothar Göttsche, Franziska Schroeter
We introduce a tropical enumerative invariant depending on a variable y which generalizes the tropical refined Severi degree. We show that this refined broccoli invariant is indeed…
Refined elliptic tropical invariants of toric surfaces
Franziska Schroeter, Eugenii Shustin
F. Block and L. Göttsche introduced refined tropical invariants of toric surfaces that intertwine tropical Gromov-Witten and Welschinger invariants of toric surfaces. L. Göttsche a…
Tropical refined curve counting via motivic integration
Johannes Nicaise, Sam Payne, Franziska Schroeter
We propose a geometric interpretation of Block and Göttsche's refined tropical curve counting invariants in terms of virtual -specializations of motivic measures of semialg…
The Boundary of Amoebas
Franziska Schroeter, Timo de Wolff
The computation of amoebas has been a challenging open problem for the last dozen years. The most natural approach, namely to compute an amoeba via its boundary, has not been pract…
Irreducible cycles and points in special position in moduli spaces for tropical curves
Andreas Gathmann, Franziska Schroeter
In the first part of this paper, we discuss the notion of irreducibility of cycles in the moduli spaces of n-marked rational tropical curves. We prove that Psi-classes and vital di…
Broccoli curves and the tropical invariance of Welschinger numbers
Andreas Gathmann, Hannah Markwig, Franziska Schroeter
In this paper we introduce broccoli curves, certain plane tropical curves of genus zero related to real algebraic curves. The numbers of these broccoli curves through given points…