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OverviewThe authors 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. They analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements. Full Product DetailsAuthor: Mircea Mustata , Mihnea PopaPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.185kg ISBN: 9781470437817ISBN 10: 1470437813 Pages: 78 Publication Date: 30 June 2020 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Preliminaries Saito's Hodge filtration and Hodge modules Birational definition of Hodge ideals Basic properties of Hodge ideals Local study of Hodge ideals Vanishing theorems Vanishing on $\mathbf{P} ^n$ and abelian varieties, with applications Appendix: Higher direct images of forms with log poles References.ReviewsAuthor InformationMircea Mustata, University of Michigan, Ann Arbor. Mihnea Popa, Northwestern University, Evanston, IL. Tab Content 6Author Website:Countries AvailableAll regions |
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