6 citations · 13 across the 4 of their papers we have counts for
5 papers · 1 filter
Tropical curves in abelian surfaces II: enumeration of curves in linear systems
Thomas Blomme
In this paper, second installment in a series of three, we give a correspondence theorem to relate the count of genus curves in a fixed linear system in an abelian surface to a…
Refined count of real oriented rational curves
Thomas Blomme
We introduce a \textit{quantum index} for oriented real curves inside toric varieties. This quantum index is related to the computation of the area of the amoeba of the curve for s…
Refined count for rational tropical curves in arbitrary dimension
Thomas Blomme
In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by F. Block and L. Gött…
A Tropical Computation of Refined Toric Invariants
Thomas Blomme
In arXiv:1505.04338(4), G. Mikhalkin introduced a refined count for the real rational curves in a toric surface which pass through certain conjugation invariant set of points on th…
A Caporaso-Harris type Formula for relative refined invariants
Thomas Blomme
G. Mikhalkin introduced a refined count for real rational curves in a toric surface which pass through some points on the toric boundary of the surface. The refinement is provided…