Sökning: "algebraic geometry"
Visar resultat 1 - 5 av 20 uppsatser innehållade orden algebraic geometry.
1. Elementary proof of the Riemann—Roch Theorem
Kandidat-uppsats, Uppsala universitet/Algebra, logik och representationsteoriSammanfattning : 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. LÄS MER
2. Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms
Master-uppsats, Uppsala universitet/Matematiska institutionenSammanfattning : Octonion algebras are certain algebras with a multiplicative quadratic form. In 2019, Alsaody and Gille showed that, for octonion algebras over unital commutative rings, there is an equivalence between isotopes and isometric quadratic forms. LÄS MER
3. Braids and configuration spaces
Kandidat-uppsats, Uppsala universitet/Geometri och fysikSammanfattning : A configuration space is a space whose points represent the possible states of a given physical system. As such they appear naturally both in theoretical physics and technical applications. LÄS MER
4. Profinite groups
Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : This thesis provides a comprehensive study of profinite groups, which are fascinating mathematical objects that have attracted significant interest in modern algebraic research. Profinite groups are infinite generalizations of finite groups and share many similarities with them. LÄS MER
5. On Noetherian Rings
Kandidat-uppsats, Örebro universitet/Institutionen för naturvetenskap och teknikSammanfattning : In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. LÄS MER