Lefschetz Properties

Current and New Directions

Uwe Nagel, Karim Adiprasito, Roberta Di Gennaro, Sara Faridi, Satoshi Murai (Herausgeber)

Buch | Hardcover

225 Seiten

2024 | 2024 ed.
Springer Verlag, Singapore
978-981-97-3885-4 (ISBN)

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The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics.

A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.

Survey articles about specific topics.- Jordan types and relation with WLP/SLP.- Unexpected objects, connections with Lefschetz properties and special sets of points.- Combinatorial aspects.- Working group on Perazzo hypersurfaces Hilbert functions, WLP, Jordan types.

Erscheinungsdatum	03.09.2024
Reihe/Serie	Springer INdAM Series
Zusatzinfo	1 Illustrations, color; 18 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Gorenstein algebra • Hodge-Riemann relations • Jordan type • Matroid • Poincare ́duality algebra • Unexpected hypersurface
ISBN-10	981-97-3885-7 / 9819738857
ISBN-13	978-981-97-3885-4 / 9789819738854
Zustand	Neuware