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Type

Work3

Resource type

Dissertation[remove]3

Creator

Burghardt, Viktor1
Khromenkov, Yaroslav1
Lei Wu1

Keyword

Algebraic Geometry[remove]3
Algebraic Topology1
Birational Geometry1
D-modules1
Derived Categories1
more Keywords »

Subject

Mathematics3
Theoretical mathematics1

Language

en2

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Generation in Geometric Derived Categories

Description:

The main topic of this thesis is generation in derived categories of coherent sheaves on smooth projective varieties. We develop a new approach that allows us to give a new proof of a recent result by Olander that powers of an ample line bundle generate the bounded derived category of...

Keyword:

Derived Categories, Rouquier Dimension, and Algebraic Geometry

Subject:

Mathematics and Theoretical mathematics

Creator:

Khromenkov, Yaroslav

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

08/23/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_1004198 and http://dissertations.umi.com/northwestern:16672
Stable Cooperations of Motivic Witt Cohomology

Description:

In this paper we begin the study of the (dual) Steenrod algebra of the motivic Witt cohomology spectrum H_Wℤ by determining the algebra structure of H_Wℤ∗∗H_Wℤ over fields k of characteristic not 2 which are extensions of fields F with K^M_2(F)/2=0. For example, this includes all fields of odd characteristic,...

Keyword:

K-Theory, Motivic Homotopy Theory, Witt Theory, Algebraic Topology, and Algebraic Geometry

Subject:

Mathematics

Creator:

Burghardt, Viktor

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

06/22/2022

Date Created:

2022-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_904176 and http://dissertations.umi.com/northwestern:16112
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

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