Schön complete intersections
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910304821051392 |
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| author | Esterov, Alexander |
| author_facet | Esterov, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schön complete intersections Esterov, Alexander Algebraic Geometry 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. |
| title | Schön complete intersections |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2401.12090 |