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Schön complete intersections

Algebraic geometry

Describing a uniform approach to a class of varieties which includes important types of objects from geometry, optimisation and physics.

Schön complete intersections

Arxiv (2024)

A. Esterov

A complete intersection f1=⋯=fk=0 is schön, if f1=⋯=fj=0 defines a schön subvariety of an algebraic torus for every j⩽k. This class includes nondegenerate complete intersections, critical loci of their coordinate projections, other simplest Thom--Boardman and multiple point strata of such projections, generalized Calabi--Yau complete intersections, equaltions of polynomial optimization, hyperplane arrangement complements, and many other interesting special varieties.

Arxiv (2024)

A. Esterov