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1. Minimal Free Resolutions over Complete Intersections. 1st ed. 2016
by David Eisenbud, Irena Peeva
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2152
オンライン: http://dx.doi.org/10.1007/978-3-319-26437-0
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2. Quadratic Residues and Non-Residues : Selected Topics
by Steve Wright
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2171
オンライン: http://dx.doi.org/10.1007/978-3-319-45955-4
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目次情報: 続きを見る
Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime
Chapter 2. Basic Facts
Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity
Chapter 4. Four Interesting Applications of Quadratic Reciprocity
Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications
Chapter 6. Elementary Proofs
Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues
Chapter 8. Dirichlet's Class-Number Formula
Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression
Chapter 10. Are quadratic residues randomly distributed?
Bibliography
Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime
Chapter 2. Basic Facts
Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity
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3. Constructive Commutative Algebra : Projective Modules Over Polynomial Rings and Dynamical Gröbner Bases
by Ihsen Yengui
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2138
オンライン: http://dx.doi.org/10.1007/978-3-319-19494-3
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Projective modules over polynomial rings
Dynamical Gr¨obner bases
Syzygies in polynomial rings over valuation domains
Exercises
Detailed solutions to the exercises
Projective modules over polynomial rings
Dynamical Gr¨obner bases
Syzygies in polynomial rings over valuation domains
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4. Manis Valuations and Prüfer Extensions II
by Manfred Knebusch, Tobias Kaiser
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2103
オンライン: http://dx.doi.org/10.1007/978-3-319-03212-2
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Overrings and PM-Spectra
Approximation Theorems
Kronecker extensions and star operations
Basics on Manis valuations and Prufer extensions
Multiplicative ideal theory
PM-valuations and valuations of weaker type
Appendix
References
Index
Overrings and PM-Spectra
Approximation Theorems
Kronecker extensions and star operations
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5. Combinatorial Algebraic Geometry : Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
by Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels, Filippo Viviani
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2108
オンライン: http://dx.doi.org/10.1007/978-3-319-04870-3
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Koszul algebras, Koszul homology and syzygies
Infinite-dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
Linear Toric fibrations and Cayley polytopes
Toroidal compactifications and tropicalizations of moduli spaces
Koszul algebras, Koszul homology and syzygies
Infinite-dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
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6. Formal Algorithmic Elimination for PDEs
by Daniel Robertz
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2121
オンライン: http://dx.doi.org/10.1007/978-3-319-11445-3
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Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
Basic Principles and Supplementary Material
References
List of Algorithms
List of Examples
Index of Notation
Index
Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
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7. Introduction to Complex Reflection Groups and Their Braid Groups
by Michel Broué
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1988
オンライン: http://dx.doi.org/10.1007/978-3-642-11175-4
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Preliminaries
Prerequisites and Complements in Commutative Algebra
Polynomial Invariants of Finite Linear Groups
Finite Reflection Groups in Characteristic Zero
Eigenspaces and Regular Elements
Preliminaries
Prerequisites and Complements in Commutative Algebra
Polynomial Invariants of Finite Linear Groups
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8. The Use of Ultraproducts in Commutative Algebra
by Hans Schoutens
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1999
オンライン: http://dx.doi.org/10.1007/978-3-642-13368-8
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Ultraproducts and ?o?’ Theorem
Flatness
Uniform Bounds
Tight Closure in Positive Characteristic
Tight Closure in Characteristic Zero. Affine Case
Tight Closure in Characteristic Zero. Local Case
Cataproducts
Protoproducts
Asymptotic Homological Conjectures in Mixed Characteristic
Ultraproducts and ?o?’ Theorem
Flatness
Uniform Bounds
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9. Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties
by Yukiyoshi Nakkajima, Atsushi Shiho ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1959
オンライン: http://dx.doi.org/10.1007/978-3-540-70565-9
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