Northwestern University

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Some Applications of Perverse Sheaves and Hodge Theory to Birational Geometry

Description:

In this thesis, we study applications of the theory of perverse sheaves and their enhancements to problems in birational geometry. In the first application, we give positive results towards a conjecture of Batyrev about the nonnegativity of stringy Hodge numbers. In particular, we prove the nonnegativity of $(p,1)$-stringy Hodge numbers...

Keyword:

Birational Geomtry, Perverse Sheaves, Hodge Theory, and Hodge Modules

Subject:

Mathematics

Creator:

Olano, Sebastian

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/01/2021

Date Created:

2020-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_763710 and http://dissertations.umi.com/northwestern:15249