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Multi-indexed Deligne Extensions and Multiplier Subsheaves

Description:

We define multi-indexed Deligne extensions and multi-indexed log-variations of Hodge structures in the category of (filtered) logarithmic D-modules, via the idea of Bernstein– Sato polynomials and Kashiwara–Malgrange filtrations, generalizing the Deligne canonical extensions of flat vector bundles. We also obtain many comparison results with perverse sheaves via the logarithmic de...

Keyword:

Birational Geometry, Hodge theory, Algebraic Geometry, and D-modules

Subject:

Mathematics

Creator:

Lei Wu

Owner:

Scholarly Digital Publishing

Date Uploaded:

03/26/2018

Date Modified:

03/26/2018

Date Created:

2017-01-01

Resource Type:

Dissertation