K-theoretic positivity for wonderful varieties and matroids
Abstract/Contents
- Abstract
- Wonderful varieties are certain smooth projective varieties constructed from linear subspaces of a coordinated vector space. We establish a positivity property for Grothendieck rings of vector bundles of wonderful varieties. The Grothendieck ring of vector bundles of a wonderful variety depends only on the matroid represented by the linear subspace. We define a combinatorial analogue of the Grothendieck ring of vector bundles for any matroid, and we show that it has properties resembling the Grothendieck ring of a smooth projective variety. We prove the positivity property for any, not necessarily realizable, matroid.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2024; ©2024 |
| Publication date | 2024; 2024 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Larson, Matthew Wendell |
|---|---|
| Degree supervisor | Huh, June |
| Degree supervisor | Vakil, Ravi |
| Thesis advisor | Huh, June |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Conrad, Brian, 1970- |
| Degree committee member | Conrad, Brian, 1970- |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Matt Larson. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2024. |
| Location | https://purl.stanford.edu/fz190fp1575 |
Access conditions
- Copyright
- © 2024 by Matthew Wendell Larson
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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