Citation
Can, Tran Thanh Trung (2024) On Arithmetic Invariants of Special Families of K3-Type Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/z5mc-g704. https://resolver.caltech.edu/CaltechTHESIS:06022024-205427263
Abstract
This thesis studies applications of Shimura varieties in positive characteristic to questions on arithmetic invariants of special families of K3-type surfaces.
The first main result determines the Newton polygons and Artin invariants of 144 special families of K3-type surfaces. The second is a refinement of a conjecture of Serre for K3 surfaces over number field.
| Item Type: | Thesis (Dissertation (Ph.D.)) | ||||
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| Subject Keywords: | Arithmetic geometry | ||||
| Degree Grantor: | California Institute of Technology | ||||
| Division: | Physics, Mathematics and Astronomy | ||||
| Major Option: | Mathematics | ||||
| Thesis Availability: | Public (worldwide access) | ||||
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 15 May 2024 | ||||
| Record Number: | CaltechTHESIS:06022024-205427263 | ||||
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:06022024-205427263 | ||||
| DOI: | 10.7907/z5mc-g704 | ||||
| ORCID: |
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| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 16471 | ||||
| Collection: | CaltechTHESIS | ||||
| Deposited By: | Tran Thanh Trung Can | ||||
| Deposited On: | 03 Jun 2024 23:48 | ||||
| Last Modified: | 12 Jun 2024 22:38 |
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