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Quadratic Forms—Algebra, Arithmetic, and Geometry
 
Edited by: Ricardo Baeza University of Talca, Talca, Chile
Wai Kiu Chan Wesleyan University, Middletown, CT
Detlev W. Hoffmann University of Nottingham, Nottingham, England
Rainer Schulze-Pillot Universitat des Saarlandes, Saarbruecken, Germany
Quadratic Forms---Algebra, Arithmetic, and Geometry
Softcover ISBN:  978-0-8218-4648-3
Product Code:  CONM/493
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8172-9
Product Code:  CONM/493.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4648-3
eBook: ISBN:  978-0-8218-8172-9
Product Code:  CONM/493.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Quadratic Forms---Algebra, Arithmetic, and Geometry
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Quadratic Forms—Algebra, Arithmetic, and Geometry
Edited by: Ricardo Baeza University of Talca, Talca, Chile
Wai Kiu Chan Wesleyan University, Middletown, CT
Detlev W. Hoffmann University of Nottingham, Nottingham, England
Rainer Schulze-Pillot Universitat des Saarlandes, Saarbruecken, Germany
Softcover ISBN:  978-0-8218-4648-3
Product Code:  CONM/493
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8172-9
Product Code:  CONM/493.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4648-3
eBook ISBN:  978-0-8218-8172-9
Product Code:  CONM/493.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4932009; 408 pp
    MSC: Primary 11; 12; 14; 19; 20;

    This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007.

    The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.

    Readership

    Graduate students and research mathematicians interested in quadradic forms (and their applications in algebra), number theory, and algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Roberto Aravire and Bill Jacob — $H^1(X,\nu )$ of conics and Witt kernels in characteristic 2 [ MR 2537090 ]
    • Karim Johannes Becher and David B. Leep — Pythagoras numbers and quadratic field extensions [ MR 2537091 ]
    • Anne-Marie Bergé and Jacques Martinet — On perfection relations in lattices [ MR 2537092 ]
    • Siegfried Böcherer, Yumiko Hironaka and Fumihiro Sato — Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms [ MR 2537093 ]
    • M. Dickmann and F. Miraglia — Representation of reduced special groups in algebras of continuous functions [ MR 2537094 ]
    • T. D. Browning and R. Dietmann — Solubility of Fermat equations [ MR 2537095 ]
    • A. G. Earnest and Robert W. Fitzgerald — Multiplicative properties of integral binary quadratic forms [ MR 2537096 ]
    • Lenny Fukshansky — Effective structure theorems for symplectic spaces via height [ MR 2537097 ]
    • Skip Garibaldi — Orthogonal involutions on algebras of degree 16 and the Killing form of $E_8$ [ MR 2537098 ]
    • Stefan Gille — The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group [ MR 2537099 ]
    • Paweł Gładki and Murray Marshall — On families of testing formulae for a pp formula [ MR 2537100 ]
    • Tomoyoshi Ibukiyama and Satoshi Wakatsuki — Siegel modular forms of small weight and the Witt operator [ MR 2537101 ]
    • Nikita A. Karpenko — On isotropy of quadratic pair [ MR 2537102 ]
    • Manfred Knebusch — Specialization of forms in the presence of characteristic 2: first steps [ MR 2537103 ]
    • Winfried Kohnen — Representation of integers by special positive definite integral quadratic forms [ MR 2537104 ]
    • Ahmed Laghribi and Pasquale Mammone — Hyper-isotropy of bilinear forms in characteristic 2 [ MR 2537105 ]
    • David B. Leep — A historical view of the Pythagoras numbers of fields [ MR 2537106 ]
    • Michał Machura and Katarzyna Osiak — The extensions of $\Bbb R$-places and application [ MR 2537107 ]
    • Alexander S. Merkurjev — Essential dimension [ MR 2537108 ]
    • R. Parimala, V. Suresh and J.-P. Tignol — On the Pfister number of quadratic forms [ MR 2537109 ]
    • Rudolf Scharlau — Martin Kneser’s work on quadratic forms and algebraic groups [ MR 2537110 ]
    • Achill Schürmann — Enumerating perfect forms [ MR 2537111 ]
    • Nils-Peter Skoruppa — Reduction mod $l$ of theta series of level $l^n$ [ MR 2537112 ]
    • Lynne H. Walling — On a reciprocity theorem of Gauss [ MR 2537113 ]
    • Takao Watanabe and Ryusuke Yoshimitsu — A bound of the number of reduced Arakelov divisors of a number field [ MR 2537114 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4932009; 408 pp
MSC: Primary 11; 12; 14; 19; 20;

This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007.

The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.

Readership

Graduate students and research mathematicians interested in quadradic forms (and their applications in algebra), number theory, and algebraic geometry.

  • Articles
  • Roberto Aravire and Bill Jacob — $H^1(X,\nu )$ of conics and Witt kernels in characteristic 2 [ MR 2537090 ]
  • Karim Johannes Becher and David B. Leep — Pythagoras numbers and quadratic field extensions [ MR 2537091 ]
  • Anne-Marie Bergé and Jacques Martinet — On perfection relations in lattices [ MR 2537092 ]
  • Siegfried Böcherer, Yumiko Hironaka and Fumihiro Sato — Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms [ MR 2537093 ]
  • M. Dickmann and F. Miraglia — Representation of reduced special groups in algebras of continuous functions [ MR 2537094 ]
  • T. D. Browning and R. Dietmann — Solubility of Fermat equations [ MR 2537095 ]
  • A. G. Earnest and Robert W. Fitzgerald — Multiplicative properties of integral binary quadratic forms [ MR 2537096 ]
  • Lenny Fukshansky — Effective structure theorems for symplectic spaces via height [ MR 2537097 ]
  • Skip Garibaldi — Orthogonal involutions on algebras of degree 16 and the Killing form of $E_8$ [ MR 2537098 ]
  • Stefan Gille — The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group [ MR 2537099 ]
  • Paweł Gładki and Murray Marshall — On families of testing formulae for a pp formula [ MR 2537100 ]
  • Tomoyoshi Ibukiyama and Satoshi Wakatsuki — Siegel modular forms of small weight and the Witt operator [ MR 2537101 ]
  • Nikita A. Karpenko — On isotropy of quadratic pair [ MR 2537102 ]
  • Manfred Knebusch — Specialization of forms in the presence of characteristic 2: first steps [ MR 2537103 ]
  • Winfried Kohnen — Representation of integers by special positive definite integral quadratic forms [ MR 2537104 ]
  • Ahmed Laghribi and Pasquale Mammone — Hyper-isotropy of bilinear forms in characteristic 2 [ MR 2537105 ]
  • David B. Leep — A historical view of the Pythagoras numbers of fields [ MR 2537106 ]
  • Michał Machura and Katarzyna Osiak — The extensions of $\Bbb R$-places and application [ MR 2537107 ]
  • Alexander S. Merkurjev — Essential dimension [ MR 2537108 ]
  • R. Parimala, V. Suresh and J.-P. Tignol — On the Pfister number of quadratic forms [ MR 2537109 ]
  • Rudolf Scharlau — Martin Kneser’s work on quadratic forms and algebraic groups [ MR 2537110 ]
  • Achill Schürmann — Enumerating perfect forms [ MR 2537111 ]
  • Nils-Peter Skoruppa — Reduction mod $l$ of theta series of level $l^n$ [ MR 2537112 ]
  • Lynne H. Walling — On a reciprocity theorem of Gauss [ MR 2537113 ]
  • Takao Watanabe and Ryusuke Yoshimitsu — A bound of the number of reduced Arakelov divisors of a number field [ MR 2537114 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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