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Elementary proof of the Riemann—Roch Theorem

This thesis will cover an elementary proof of the Riemann–Roch Theorem for planecurves. We will introduce the notions of divisors, which is a convenient way of com-puting multiplicities of rational function, then continuing by introducing differentials.Furthermore we will introduce the K-vector space L(D), consisting of rational func-tions which are controlled by a divisor D. This is followed by presenting some moreresults before we arrive at an elementary proof of the Riemann–Roch Theorem.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-506510
Date January 2023
CreatorsSundgren, Hampus
PublisherUppsala universitet, Algebra, logik och representationsteori
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, info:eu-repo/semantics/bachelorThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationU.U.D.M. project report ; 2023:20

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