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math.AC2026
Small Resultant Systems via Linear Combinations
M. Levent Doğan, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
For a system of homogeneous polynomials of degree in variables, say , we consider the problem of constructing resultant systems. A resultant system is a f…
math.AC2013★ 2 cited
On Computing the Elimination Ideal Using Resultants with Applications to Gröbner Bases
Matteo Gallet, Hamid Rahkooy, Zafeirakis Zafeirakopoulos
Resultants and Gröbner bases are crucial tools in studying polynomial elimination theory. We investigate relations between the variety of the resultant of two polynomials and the v…