120 citations · 343 across the 55 of their papers we have counts for
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Algorithms for Gromov-Witten Invariants of Elliptic Curves
Firoozeh Aga, Janko Boehm, Alain Hoffmann +2
We present an enhanced algorithm for exploring mirror symmetry for elliptic curves through the correspondence of algebraic and tropical geometry, focusing on Gromov-Witten invarian…
Faithful tropicalization of hyperelliptic curves
Hannah Markwig, Lukas Ristau, Victoria Schleis
We provide explicit faithful re-embeddings for all hyperelliptic curves of genus at most three and an algorithmic way to construct them. Both in the faithful tropicalization algori…
Arithmetic Counts of Tropical Plane Curves and Their Properties
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
Recently, the first and third author proved a correspondence theorem which recovers the Levine-Welschinger invariants of toric del Pezzo surfaces as a count of tropical curves weig…
Avoidance loci and tropicalizations of real bitangents to plane quartics
Hannah Markwig, Sam Payne, Kris Shaw
We compare two partitions of real bitangents to smooth plane quartics into sets of 4: one coming from the closures of connected components of the avoidance locus and another coming…