On Newton-Okounkov bodies, linear series and positivity
von Georg Merz
Datum der mündl. Prüfung:2018-03-08
Erschienen:2018-04-04
Betreuer:Prof. Dr. Henrik Seppänen
Gutachter:Prof. Dr. Henrik Jun.-Seppänen
Gutachter:Prof. Dr. Viktor Pidstrygach
Dateien
Name:dissertation_georg_merz.pdf
Size:2.00Mb
Format:PDF
Zusammenfassung
Englisch
This thesis consists of four independent articles all connected to the theory of Newton-Okounkov bodies. It contains result about toric degenerations of Del Pezzo surfaces/Bott-Samelson varieties as well as an extension of the theory of Newton-Okounkov bodies of graded linear series.
Keywords: Newton-Okounkov bodies; positivity; toric degeneration