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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Vydané v:	Journal of algebra Ročník 646; s. 156 - 182
Hlavní autori:	Bender, Matías, Spaenlehauer, Pierre-Jean
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.05.2024 Elsevier
Predmet:	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
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