The Library
Picard group of K3 surfaces over finite fields
Tools
Broggi, F. (2020) Picard group of K3 surfaces over finite fields. PhD thesis, University of Warwick.
|
PDF
WRAP_Theses_Broggi_2020.pdf - Submitted Version - Requires a PDF viewer. Download (594Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3489611~S15
Abstract
The aim of this work is to provide a method to find explicitly generators for the Picard group of a K3 surface of degree four defined over a finite field. This work has been motivated primarily by the difficulty related to this problem, and by the lack of examples in the literature. Another question related to this problem is if given a K3 surface of degree 4 defined over a finite field, is it possible to determine the minimal degree of a non complete intersection curve lying over it. We could not answer completely to this question, but we were still able to find algorithms to determine whether or not it contains a conic defined over an extension of the base field. We were also able to determine an algorithm to find twisted cubics defined over the base field in case it is F2.
Item Type: | Thesis (PhD) | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Picard groups, Surfaces, Algebraic, Geometry, Algebraic | ||||
Official Date: | June 2020 | ||||
Dates: |
|
||||
Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Testa, Damiano | ||||
Format of File: | |||||
Extent: | vi, 56 leaves | ||||
Language: | eng |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year