Hodge Ideals

We use methods from birational geometry to study the Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. We analyze their local and global properties, and use them for applicat...

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Hauptverfasser: Mustaţă, Mircea, Popa, Mihnea
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2019
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
ISBN:1470437813, 9781470437817
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We use methods from birational geometry to study the Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. We analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.
Bibliographie:Includes bibliographical reference (p. 79-80)
November 2019, volume 262, number 1268 (fifth of 7 numbers)
ISBN:1470437813
9781470437817
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1268