A Caltech Library Service

On Arithmetic Invariants of Special Families of K3-Type Surfaces


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.


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.))
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):
  • Mantovan, Elena
Thesis Committee:
  • Graber, Thomas B. (chair)
  • Flach, Matthias
  • Zhao, Roy
  • Mantovan, Elena
Defense Date:15 May 2024
Record Number:CaltechTHESIS:06022024-205427263
Persistent URL:
Can, Tran Thanh Trung0000-0002-2043-3335
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16471
Deposited By: Tran Thanh Trung Can
Deposited On:03 Jun 2024 23:48
Last Modified:12 Jun 2024 22:38

Thesis Files

[img] PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page