On Newton-Okounkov bodies, linear series and positivity

by Georg Merz
Doctoral thesis
Date of Examination:2018-03-08
Date of issue:2018-04-04
Advisor:Prof. Dr. Henrik Seppänen
Referee:Prof. Dr. Henrik Jun.-Seppänen
Referee:Prof. Dr. Viktor Pidstrygach
Persistent Address: http://dx.doi.org/10.53846/goediss-6812

 

 

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Abstract

English

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
 
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