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The Lefschetz properties

Author: Tadahito HarimaToshiaki MaenoHideaki MoritaYasuhide NumataAkihito WachiAll authors
Publisher: Heidelberg : Springer, [2013]
Series: Lecture notes in mathematics (Springer-Verlag), 2080.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Tadahito Harima; Toshiaki Maeno; Hideaki Morita; Yasuhide Numata; Akihito Wachi; Junzo Watanabe
ISBN: 9783642382055 3642382053 9783642382062 3642382061
OCLC Number: 839397504
Description: xix, 250 pages : illustrations ; 24 cm.
Contents: Poset theory --
Basics on the theory of local rings --
Lefschetz properties --
Compete intersections with the SLP --
A generalization of Lefschetz elements --
k-Lefschetz properties --
Cohomology rings --
Invariant theory and Lefschetz property --
The strong Lefschetz property and the SchurWeyl duality.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2080.
Responsibility: Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe.

Abstract:

This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras.  Read more...

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