Work

Sparse Nullstellensatz, resultants and determinants of complexes

Year: 2024

Type: article

Abstract: We refine and extend a result by Tuitman on the supports of a Bezout identity satisfied by a finite sequence of sparse Laurent polynomials without common zeroes in the toric variety associated to their supports. When the number of these polynomials is one more than the dimension of the ambient space, we obtain a formula for computing the sparse resultant as the determinant of a Koszul type complex.

Source: Conicet

DOI: 10.48550/arxiv.2407.13450

Authors: D'Andrea, Carlos, Jeronimo, Gabriela

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Ministerio de Ciencia e Innovación, Universidad de Buenos Aires, Universitat de Barcelona, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires, Agencia Estatal de Investigación

Awards: G1087007104, Ecuaciones e inecuaciones polinomiales y pfaffianas: aspectos teóricos y algorítmicos, G1186134865, G2439265903, G3690828678, G4391066842, G5020360085, G6522568025, G84477964, G8684520763

OpenAlex ID: W4402345248

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