Cover of Mircea Mustata: Hodge Ideals

Mircea Mustata Hodge Ideals

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American Mathematical Society

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978-1-4704-5509-5

1-4704-5509-9

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The 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.

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