We consider graded artinian complete intersection algebras A=C[x0,...,xm]/I with I generated by homogeneous forms of degree d2. We show that the general multiplication by a linear form L:Ad-1Ad is injective. We prove that the Weak Lefschetz Property for holds for any c.i. algebra A as above with d=2 and m4, previously known for m <= 3.

Complete intersections of quadrics and the weak Lefschetz property / A. Alzati, R. Re. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 70:2(2019), pp. 283-294. [10.1007/s13348-018-0230-1]

Complete intersections of quadrics and the weak Lefschetz property

A. Alzati;
2019

Abstract

We consider graded artinian complete intersection algebras A=C[x0,...,xm]/I with I generated by homogeneous forms of degree d2. We show that the general multiplication by a linear form L:Ad-1Ad is injective. We prove that the Weak Lefschetz Property for holds for any c.i. algebra A as above with d=2 and m4, previously known for m <= 3.
Weak Lefschetz Property; Artinian algebra; complete intersections
Settore MAT/03 - Geometria
   Geometry of Algebraic Varieties
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2015EYPTSB_006
2019
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/585810
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