Luca Amata, Marilena Crupi, Antonino Ficarra: Upper bounds for extremal Betti numbers of $t$-spread strongly stable ideals, 13-34

Abstract:

We study the extremal Betti numbers of the class of $t$-spread strongly stable ideals. More precisely, we determine the maximal number of admissible extremal Betti numbers for such ideals, and thereby we generalize the known results for $t\in \{1,2\}$.

Key Words: Monomial ideals, minimal graded resolution, extremal Betti numbers, $t$-spread ideals.

2010 Mathematics Subject Classification: Primary 13B25, 13D02, 16W50; Secondary 05E40, 68W30.