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
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.
