[HTML][HTML] Secant varieties of the varieties of reducible hypersurfaces in Pn
MV Catalisano, AV Geramita, A Gimigliano… - Journal of Algebra, 2019 - Elsevier
Given the space V= P (d+ n− 1 n− 1)− 1 of forms of degree d in n variables, and given an
integer ℓ> 1 and a partition λ of d= d 1+⋯+ dr, it is in general an open problem to obtain the …
integer ℓ> 1 and a partition λ of d= d 1+⋯+ dr, it is in general an open problem to obtain the …
Generic Initial Ideals, Graded Betti Numbers, and k-Lefschetz Properties
T Harima, A Wachi - Communications in Algebra®, 2009 - Taylor & Francis
We introduce the k-strong Lefschetz property and the k-weak Lefschetz property for graded
Artinian K-algebras, which are generalizations of the Lefschetz properties. The main results …
Artinian K-algebras, which are generalizations of the Lefschetz properties. The main results …
On almost revlex ideals with Hilbert function of complete intersections
In this paper, we investigate the behavior of almost reverse lexicographic ideals with the
Hilbert function of a complete intersection. More precisely, over a field K, we give a new …
Hilbert function of a complete intersection. More precisely, over a field K, we give a new …
On almost revlex ideals with Hilbert function of complete intersections
In this paper, we investigate the behavior of almost reverse lexicographic ideals with the
Hilbert function of a complete intersection. More precisely, over a field $ K $, we give a new …
Hilbert function of a complete intersection. More precisely, over a field $ K $, we give a new …
k-Lefschetz Properties
T Harima, T Maeno, H Morita, Y Numata, A Wachi… - The Lefschetz …, 2013 - Springer
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Poset Theory
T Harima, T Maeno, H Morita, Y Numata, A Wachi… - The Lefschetz …, 2013 - Springer
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The Strong Lefschetz Property and the Schur–Weyl Duality
T Harima, T Maeno, H Morita, Y Numata, A Wachi… - The Lefschetz …, 2013 - Springer
The purpose of this chapter is to illustrate a role played by the SLP in connection with the
theory of Artinian rings and the Schur–Weyl duality. We assume that the reader is familiar …
theory of Artinian rings and the Schur–Weyl duality. We assume that the reader is familiar …
Complete Intersections with the SLP
T Harima, T Maeno, H Morita, Y Numata, A Wachi… - The Lefschetz …, 2013 - Springer
The main result of this chapter is Theorem 4.10. This may be regarded as a generalization of
Theorem 3.34 which states that the SLP is preserved by tensor products. Using the main …
Theorem 3.34 which states that the SLP is preserved by tensor products. Using the main …
Invariant Theory and Lefschetz Properties
T Harima, T Maeno, H Morita, Y Numata, A Wachi… - The Lefschetz …, 2013 - Springer
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