THE NUMBER OF ROOTS OF A POLYNOMIAL SYSTEM

DOI10.1017/S0004972720001197zbMath1464.05350OpenAlexW3099378496MaRDI QIDQ4989442

Nguyên Công Minh, Tran Nam Trung, Luu Ba Thang

Publication date: 25 May 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001197

zbMATH Keywords

multiplicitymultisetrootcombinatorial Nullstellensatz

Mathematics Subject Classification ID

Applications of graph theory (05C90) Coloring of graphs and hypergraphs (05C15) Local cohomology and commutative rings (13D45) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Alon's nullstellensatz for multisets
• A generalization of combinatorial Nullstellensatz
• The polynomial method and restricted sums of congruence classes
• Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory
• Combinatorial Nullstellensatz
• Generalized Bezout's theorem and its applications in coding theory
• Footprints or generalized Bezout's theorem