Dimension results for extremal-generic polynomial systems over complete toric varieties

We study polynomial systems with prescribed monomial supports in the Cox ring of a toric variety built from a complete polyhedral fan. We present combinatorial formulas for the dimension of their associated subvarieties under genericity assumptions on the coefficients of the polynomials. Using these...

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Bibliographic Details

Published in:	Journal of algebra Vol. 646; pp. 156 - 182
Main Authors:	Bender, Matías, Spaenlehauer, Pierre-Jean
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.05.2024 Elsevier
Subjects:	Algebraic Geometry Computer Science Mathematics Sparse polynomial systems Symbolic Computation Toric varieties 13P15 68W30 52B20 Toric varieties Sparse polynomial systems 14M25
ISSN:	0021-8693, 1090-266X
Online Access:	Get full text
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