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math.AG2026
Tropical Methods for Counting Plane Curves -- Complex, Real and Quadratically Enriched
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
Since the first famous correspondence theorem by Mikhalkin appeared in 2005, tropical geometry has allowed a parallel treatment of real and complex counting problems. A prime examp…
math.AG2025
Quadratically Enriched Plane Curve Counting via Tropical Geometry
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
We prove that the quadratically enriched count of rational curves in a smooth toric del Pezzo surface passing through -rational points and pairs of conjugate points in quadratic…