Science/Engineering Higher-Dimensional Geometry over Finite Fields (1586038559)

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Higher-Dimensional Geometry over Finite Fields

Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the most important such number systems, playing a vital role in military and civilian communications through coding theory and cryptography. These disciplines have evolved over recent decades, and where once the focus was on algebraic curves over finite fields, recent developments have revealed the increasing importance of higher-dimensional algebraic varieties over finite fields.

The papers included in this publication introduce the reader to recent developments in algebraic geometry over finite fields with particular attention to applications of geometric techniques to the study of rational points on varieties over finite fields of dimension of at least 2.

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	Science/Engineering Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, "Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields" Springer \| ISBN / ASIN: 0387976639 \| 1991 \| 468 pages \| DJVU \| 5.9 MBThis is the ...
	Science/Engineering Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras R.W. Carter, V.P. Platonov, V.I. Yanchevskii, A.I. Kostrikin , "Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras" Springer; 1 edition \| ISBN: 3540570381 \| 239 pages \| PDF \| 11 Mb The first contribution covers ...
	Science/Engineering Higher-Dimensional Algebraic Geometry Higher-Dimensional Algebraic Geometry Publisher: Springer \| Pages: 248 \| 2001-06-26 \| ISBN 0387952276 \| DJVU \| 3 MBHigher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area o ...
	Study Characters and Cyclotomic Fields in Finite Geometry Bernhard Schmidt "Characters and Cyclotomic Fields in Finite Geometry"Springer \| 2002-12-05 \| ISBN: 354044243X \| 100 pages \| PDF \| 1,2 MBThis monograph contributes to the existence theory of difference sets, cyclic irreducible codes and sim ...
	Finite-Dimensional Division Algebras over Fields Nathan Jacobson, "Finite-Dimensional Division Algebras over Fields" Springer \| 1996 \| ISBN: 3540570292 \| 278 pages \| PDF \| 6,7 MB Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simple finit ...
	Study Geometry of Higher Dimensional Algebraic Varieties Thomas Peternell, Joichi Miyaoka "Geometry of Higher Dimensional Algebraic Varieties"Birkhäuser Basel \| English \| 2004-02-04 \| ISBN: 3764354909 \| 228 pages \| DJVU \| 3,3 MBThe subject of this book is the classification theory and geometry o ...

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	Science/Engineering Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, "Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields" Springer \| ISBN / ASIN: 0387976639 \| 1991 \| 468 pages \| DJVU \| 5.9 MBThis is the ...
	Science/Engineering Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras R.W. Carter, V.P. Platonov, V.I. Yanchevskii, A.I. Kostrikin , "Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras" Springer; 1 edition \| ISBN: 3540570381 \| 239 pages \| PDF \| 11 Mb The first contribution covers ...
	Science/Engineering Higher-Dimensional Algebraic Geometry Higher-Dimensional Algebraic Geometry Publisher: Springer \| Pages: 248 \| 2001-06-26 \| ISBN 0387952276 \| DJVU \| 3 MBHigher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area o ...
	Study Characters and Cyclotomic Fields in Finite Geometry Bernhard Schmidt "Characters and Cyclotomic Fields in Finite Geometry"Springer \| 2002-12-05 \| ISBN: 354044243X \| 100 pages \| PDF \| 1,2 MBThis monograph contributes to the existence theory of difference sets, cyclic irreducible codes and sim ...
	Finite-Dimensional Division Algebras over Fields Nathan Jacobson, "Finite-Dimensional Division Algebras over Fields" Springer \| 1996 \| ISBN: 3540570292 \| 278 pages \| PDF \| 6,7 MB Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simple finit ...
	Study Geometry of Higher Dimensional Algebraic Varieties Thomas Peternell, Joichi Miyaoka "Geometry of Higher Dimensional Algebraic Varieties"Birkhäuser Basel \| English \| 2004-02-04 \| ISBN: 3764354909 \| 228 pages \| DJVU \| 3,3 MBThe subject of this book is the classification theory and geometry o ...

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