3 papers
math.AG2026
Fibers of phase tropicalizations
Andrei Bengus-Lasnier, Mikhail Shkolnikov
The subject of the present paper is phase tropicalization, which was used crucially in the context of Mikhalkin's correspondence theorem for curve counting in the complex coefficie…
math.AG2025
The Complete Intersection Discrepancy of a Curve I: Numerical Invariants
Andrei Benguş-Lasnier, Antoni Rangachev
We generalize two classical formulas for complete intersection curves by introducing the complete intersection discrepancy of a curve as a correction term. The first is a well-know…
math.AC2020
Minimal Pairs, Truncations and Diskoids
Andrei Benguş-Lasnier
We build on the correspondence between abstract key polynomials and minimal pairs made by Novacoski and show how to relate the valuations that are generated by each object. We can…