44 citations · 142 across the 75 of their papers we have counts for
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Liaison addition and the structure of a Gorenstein liaison class
Robin Hartshorne, Juan Migliore, Uwe Nagel
We study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes o…
The Hilbert functions which force the Weak Lefschetz Property
Juan C. Migliore, Fabrizio Zanello
The purpose of this note is to characterize the finite Hilbert functions which force all of their artinian algebras to enjoy the Weak Lefschetz Property (WLP). Curiously, they turn…
On the degree two entry of a Gorenstein -vector and a conjecture of Stanley
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
In this note we establish a (non-trivial) lower bound on the degree two entry of a Gorenstein -vector of any given socle degree and any codimension . In particular,…
An improved Multiplicity Conjecture for codimension three Gorenstein algebras
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded Betti numbers in its mi…