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Showing 2012 · math.ACShow all
3 papers · 2 filters
math.AC2012★ 4 cited
Betti tables of -Borel-fixed ideals
Giulio Caviglia, Manoj Kummini
In this note we provide a counter-example to a conjecture of K. Pardue [Thesis, Brandeis University, 1994.], which asserts that if a monomial ideal is -Borel-fixed, then its $\n…
math.AC2012
Bounds for the Multiplicity of Gorenstein algebras
Sabine El Khoury, Manoj Kummini, Hema Srinivasan
We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg theory to obtain a decomposition of th…
math.AC2012★ 3 cited
Three flavors of extremal Betti tables
Christine Berkesch, Daniel Erman, Manoj Kummini
We discuss extremal Betti tables of resolutions in three different contexts. We begin over the graded polynomial ring, where extremal Betti tables correspond to pure resolutions. W…