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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"proof off then riemann–noch heorem"" "subject:"proof off then riemann–noch atheorem""

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Elementary proof of the Riemann—Roch Theorem

Sundgren, Hampus January 2023 (has links)
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.
Algebraic Geometry
Riemann–Roch
The Riemann–Roch Theorem
Divisors
Differentials
L(D)
l(D)
Vector space L(D)
Proof of the Riemann–Roch Theorem
Algebra and Logic
Algebra och logik

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