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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 is schön, if defines a schön subvariety of an algebraic torus for every . This class includes nondegener…