7 citations · 25 across the 24 of their papers we have counts for
24 papers
A binary tree of complete intersections with the strong Lefschetz property
Tadahito Harima, Satoru Isogawa, Junzo Watanabe
In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of (Artinian algebras defined by) ideals generated by pow…
Betti numbers for connected sums of graded Gorenstein artinian algebras
Nasrin Altafi, Roberta Di Gennaro, Federico Galetto +5
The connected sum construction, which takes as input Gorenstein rings and produces new Gorenstein rings, can be considered as an algebraic analogue for the topological construction…
Higher Lorentzian Polynomials, Higher Hessians, and the Hodge-Riemann Property for Graded Oriented Artinian Gorenstein Algebras in Codimension Two
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu +1
A (standard graded) oriented Artinian Gorenstein algebra over the real numbers is uniquely determined by a real homogeneous polynomial called its Macaulay dual generator. We study…
Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel +2
We introduce the cohomological blow up of a graded Artinian Gorenstein (AG) algebra along a surjective map, which we term BUG (Blow Up Gorenstein) for short. This is intended to tr…
Principal Radical Systems, Lefschetz Properties and Perfection of Specht Ideals of Two-Rowed Partitions
Chris McDaniel, Junzo Watanabe
We show that the Specht ideal of a two-rowed partition is perfect over an arbitrary field, provided that the characteristic is either zero or bounded below by the size of the secon…
Fibered Cusp b-Pseudodifferential Operators and its Applications
Jun Watanabe
Let be a smooth compact manifold with corners which has two embedded boundary hypersurfaces , and a fiber bundle is given. B…