Hodge Ideals

✍ Scribed by Mircea Mustaţă; Mihnea Popa

• Publisher: American Mathematical Society
• Year: 2019
• Tongue: English
• Leaves: 92
• Series: Memoirs of the American Mathematical Society Ser.
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Subjects

Hodge theory.