Alexander Esterov

activity

20242026

collaborators

4 papers

cs.SC2026

Engineered Complete Intersections: Algorithmic Aspects

Alexander Esterov, Rafael Mohr, Yulia Mukhina

Engineered Complete Intersections (ECI's) are a class of sparse polynomial systems frequently arising in a number of contexts, both in pure mathematics (e.g. enumerative geometry)…

math.AG2025

Engineered complete intersections: eliminating variables and understanding topology

Alexander Esterov

We continue the study of engineered complete intersections (ECI) -- an umbrella generality for a number of important objects in combinatoiral and applied algebraic geometry (such a…

math.AG2024

Engineered complete intersections: slightly degenerate Bernstein--Kouchnirenko--Khovanskii

Alexander Esterov

Geometry of sparse systems of polynomial equations (i.e. the ones with prescribed monomials and generic coefficients) is well studied in terms of their Newton polytopes. The result…

math.AG2024

Schön complete intersections

Alexander Esterov

A complete intersection $f_{1} = \dots = f_{k} = 0$ is schön, if $f_{1} = \dots = f_{j} = 0$ defines a schön subvariety of an algebraic torus for every $j ⩽ k$ . This class includes nondegener…