The Lefschetz properties

By 張間 忠人, 前野 俊昭, 森田 英章, 沼田 泰英, 和地 輝仁, 渡邊 純三. 2013

108 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b7cca1dbef479846981edea5a6f869d1a06fb7a1

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Citations in the corpus

• The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A (2015, unknown): “ = Ld i=0 Ri be a graded Artinian algebra with R0 a field. Then R is Gorenstein if and only if R is a Poincar´e duality algebra. (We note here that the definition of Poincar´e duality algebras given in [27], from which we are quoting Proposition A.2 above, differs from that given in Definition 10.4. How”
• On higher Hessians and the Lefschetz properties (2015, methodology): “ximal rank for all i = 0,...,d − 1 and for all k. More precisely we shall construct standard Artinian Gorenstein K-algebras which do not satisfy these properties. As pointed out recently in [MN1] and [HMMNWW], the WLP and SLP are strongly connected with many topics in algebraic geometry, commutative”