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math.AC2026
Small Resultant Systems via Linear Combinations
M. Levent DoÄan, 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.AC2026
Sagbi bases, defining ideals and algebra of minors
Winfried Bruns, Aldo Conca, Francesca Lembo
This paper extends the article of the Bruns and Conca on SAGBI bases and their computation (J. Symb. Comput. 120 (2024)) in two directions. (i) We describe the extension of the Sin…
math.AC2025
-graded rings and their canonical modules
Margherita Barile, Winfried Bruns
In ``Cohen--Macaulay rings'' Bruns and Herzog define the graded canonical module for -graded rings. We generalize the definition to multigradings and prove that the c…