Results 1 to 10 of about 52 (51)

The unramified Brauer group

open access: yes, 2021
In this talk we shall explain a method to translate arithmetic information to algebraic data in the context of the study of the unramified Brauer group of tori.Non UBCUnreviewedAuthor affiliation: Emory ...
Parimala, Raman
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On the stratification of smooth plane curves by automorphism groups [PDF]

open access: yes, 2017
Curvas proyectivas no singulares sobre un cuerpo con grupo de automorfismo no trivial son de gran interés en Geometría Aritmética. En la tesis, estudiamos la estratificación de las curvas planas no singulares (de género mayor o igual a tres) por sus ...
Farag, Eslam Essam Ebrahim
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The Generic Clifford Algebra and its Brauer Class

open access: yes, 2021
The Clifford algebra is an object intimately connected with the theory of quadratic forms and orthogonal groups. This classical notion of Clifford algebras associated to quadratic forms can be generalized to higher degree.
Ure, Charlotte
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Rational points on varieties

open access: yes, 2017
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory.
Bjorn Poonen, Poonen, Bjorn
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Explicit methods in number theory. Report 32/2005

open access: yes, 2005
From the text: These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics included modular forms, varieties over finite fields, rational and integral points on varieties, class groups, and integer ...

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Loop characters [PDF]

open access: yes, 2000
summary:A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments.
Johnson, Kenneth W., Kenneth W. Johnson
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Abelian n-division fields of elliptic curves and Brauer groups of product Kummer and abelian surfaces

open access: yes, 2017
Let $Y$ be a principal homogeneous space of an abelian surface, or a K3 surface, over a finitely generated extension of $\mathbb{Q}$. In 2008, Skorobogatov and Zarhin showed that the Brauer group modulo algebraic classes $\mathrm{Br}{Y}/ \mathrm{Br}_1{Y}$
Viray, Bianca
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Geometrical aspects of spinor and twistor analysis [PDF]

open access: yes
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
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Spinors, embeddings and gravity

open access: yes, 1988
This thesis is concerned with the theory of spinors, embeddings and everywhere invariance with applications to general relativity. The approach is entirely geometric with particular emphasis on the use of natural structures.
Swift, S.T, Swift, Simon
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