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Filtering by: 2024-06-24 Keyword Birational Geometry

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Birational Geometry of Log Pairs

Description:

In this dissertation, we study the birational geometry of log pairs over the field of complex numbers, with an emphasis on the positivity properties of log pairs and their applications. First, we study the nonvanishing conjecture in the minimal model program. We prove the nonvanishing conjecture for uniruled log canonical...

Keyword:

Birational Geometry, Positivity Properties, and Log Pairs

Subject:

Mathematics

Creator:

Meng, Fanjun

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

06/22/2022

Date Created:

2022-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:15958 and etdadmin_upload_883432
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