Automorphisms of Algebraic Curves

Doctoral Dissertation uoadl:2956265 65 Read counter

Unit:
Department of Mathematics
Library of the School of Science
Deposit date:
2021-07-14
Year:
2021
Author:
Tsouknidas Ioannis
Dissertation committee:
Αριστείδης Κοντογεώργης, Καθηγητής, τμ. Μαθηματικών, ΕΚΠΑ
Ιωάννης Αντωνιάδης, Καθηγητής, τμ. Μαθηματικών και Εφαρμοσμένων Μαθηματικών, Πανεπιστήμιο Κρήτης
Παύλος Τζερμιάς, Καθηγητής, τμ. Μαθηματικών, Πανεπιστήμιο Πατρών
Δημήτριος Βάρσος, Καθηγητής, τμ. Μαθηματικών, ΕΚΠΑ
Ιωάννης Εμμανουήλ, Καθηγητής, τμ. Μαθηματικών, ΕΚΠΑ
Γεώργιος Παππάς, Καθηγητής, τμ. Μαθηματικών, Michigan State University
Χαρά Χαραλάμπους, Καθηγήτρια, τμ. Μαθηματικών, ΑΠΘ
Original Title:
Automorphisms of Algebraic Curves
Languages:
English
Translated title:
Automorphisms of Algebraic Curves
Summary:
In this dissertation automorphisms of algebraic curves in positive characteristic are studied. After a brief outline of a class of curves known as Harbater-Katz-Gabber curves, some new results regarding these curves are proven. After that the canonical ideal of such a curve is calculated. In the last paragraphs we present results concerning general algebraic curves and are related to the canonical ideal and the theory of syzygies.
Main subject category:
Science
Keywords:
Harbater-Katz-Gabber curves, Canonical ideal, Deformation theory
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
52
Number of pages:
64
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