Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Kalogirou Alexandros-Dimitrios
Supervisors info:
Αριστείδης Κοντογιώργης. Καθηγητής τμήματος Μαθηματικών ΕΚΠΑ.
Original Title:
Εκδοχές του Riemann-Roch
Translated title:
Versions of Riemann-Roch
Summary:
This thesis implicates how to view number fields as function fields over properly defined curves. The Euler-Minkowski characteristic is then introduced , accompanied with a Riemann-Roch theorem which under Arakelov's perspective is then derived from the chosen K-theory we present.
Main subject category:
Science
Keywords:
number fields, Riemann-Roch, K-theory