Year: 2024
Type: preprint
Abstract: A complete intersection $f_1=\cdots=f_k=0$ is schön, if $f_1=\cdots=f_j=0$ defines a schön subvariety of an algebraic torus for every $j\leqslant k$. 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. We study their Euler characteristics, connectednes, Calabi--Yau-ness, tropicalizations, etc., extending (in part conjecturally) the respective classical results about nondegenerate complete intersections.
Source: arXiv (Cornell University)
Author: Esterov, Alexander
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4391158984