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Theta Functions–Bowdoin 1987, Part 1
Edited by:
Robert C. Gunning
Hardcover ISBN:  9780821814833 
Product Code:  PSPUM/49.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893449 
Product Code:  PSPUM/49.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821814833 
eBook: ISBN:  9780821893449 
Product Code:  PSPUM/49.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 
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Theta Functions–Bowdoin 1987, Part 1
Edited by:
Robert C. Gunning
Hardcover ISBN:  9780821814833 
Product Code:  PSPUM/49.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893449 
Product Code:  PSPUM/49.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821814833 
eBook ISBN:  9780821893449 
Product Code:  PSPUM/49.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 49; 1989; 728 ppMSC: Primary 11; Secondary 00; 14;This item is also available as part of a set:

Table of Contents

Infinite analysis

Takahiro Kawai — Systems of linear differential equations of infinite order: An aspect of infinite analysis [ MR 1013121 ]

Masaki Kashiwara and Takahiro Kawai — A particular partition of unity: an auxiliary tool in Hodge theory [ MR 1013122 ]

H. P. McKean — Is there an infinitedimensional algebraic geometry? Hints from KdV [ MR 1013123 ]

Motohico Mulase — A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves [ MR 1013124 ]

Mikio Sato — The KP hierarchy and infinitedimensional Grassmann manifolds [ MR 1013125 ]

Integrable systems

Mark Adler — Some geometrical techniques in integrable systems [ MR 1013126 ]

N. Ercolani — Generalized theta functions and homoclinic varieties [ MR 1013127 ]

Shi Rong Lu — Explicit equations for the KP and MKP hierarchies [ MR 1013128 ]

Pierre van Moerbeke — Introduction to algebraic integrable systems and their Painlevé analysis [ MR 1013129 ]

Robert L. Sachs — Polynomial $\tau $functions for the AKNS hierarchy [ MR 1013130 ]

Kanehisa Takasaki — Integrable systems as deformations of $\mathcal {D}$modules [ MR 1013131 ]

KacMoody algebras

E. Arbarello, C. De Concini and V. G. Kac — The infinite wedge representation and the reciprocity law for algebraic curves [ MR 1013132 ]

Victor G. Kac and Minoru Wakimoto — Exceptional hierarchies of soliton equations [ MR 1013133 ]

Andrew Pressley and Vyjayanthi Chari — Unitary representations of some infinitedimensional Lie algebras [ MR 1013134 ]

A. RochaCaridi — On highest weight and Fock space representations of the Virasoro algebra [ MR 1013135 ]

Gregg J. Zuckerman — Modular forms, strings, and ghosts [ MR 1013136 ]

Lattice models

Helen AuYang and Jacques H. H. Perk — Solution of Hirota’s discretetime Toda lattice equation and the critical correlations in the $Z$invariant Ising model [ MR 1013137 ]

Etsurō Date, Michio Jimbo, Tetsuji Miwa and Masato Okado — Solvable lattice models [ MR 1013138 ]

Atsuo Kuniba — Theta function identities in a series of solvable lattice models [ MR 1013139 ]

Jacques H. H. Perk — Startriangle equations, quantum Lax pairs, and higher genus curves [ MR 1013140 ]

Craig A. Tracy — Introduction to exactly solvable models in statistical mechanics [ MR 1013141 ]

Physics

Michio Jimbo — Introduction to holonomic quantum fields for mathematicians [ MR 1013142 ]

Emil Martinec — Quantum field theory: a guide for mathematicians [ MR 1013143 ]

Yukihiko Namikawa — A conformal field theory on Riemann surfaces realized as quantized moduli theory of Riemann surfaces [ MR 1013144 ]

A. Neveu — The physics of string theory [ MR 1013145 ]

Jacobian varieties

Hershel M. Farkas — SchottkyJung theory [ MR 1013146 ]

John Fay — Schottky relations on $\frac 12(CC)$ [ MR 1013147 ]

R. C. Gunning — Analytic identities for theta functions [ MR 1013148 ]

John B. Little — Translation manifolds and the Schottky problem [ MR 1013149 ]

Henrik H. Martens — Mappings of closed Riemann surfaces [ MR 1013150 ]

José Ma. Muñoz Porras — Geometric characterization of Jacobians and the Schottky equations [ MR 1013151 ]

Emma Previato and George Wilson — Vector bundles over curves and solutions of the KP equations [ MR 1013152 ]

Roy Smith and Robert Varley — Deformations of singular points on theta divisors [ MR 1013153 ]

L. A. Takhtajan — Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles [ MR 1013154 ]

Noriaki Yamawaki — Explicit actions of the theta groups for theta divisors on Jacobian surfaces [ MR 1013155 ]

Prym varieties

Arnaud Beauville — Prym varieties: A survey [ MR 1013156 ]

Olivier Debarre — The trisecant conjecture for Pryms [ MR 1013157 ]

Vassil Kanev — Spectral curves, simple Lie algebras, and PrymTjurin varieties [ MR 1013158 ]

Algebraic geometry

Iacopo Barsotti — A new look for thetas [ MR 1013159 ]

L. Breen — The cube structure on the determinant bundle [ MR 1013160 ]

Michael D. Fried and Helmut Völklein — Unramified Abelian extensions of Galois covers [ MR 1013161 ]

William L. Hoyt — On twisted Legendre equations and Kummer surfaces [ MR 1013162 ]

A. B. Jijtchenko — On embedded tangent and secant varieties of projective algebraic varieties [ MR 1013163 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 49; 1989; 728 pp
MSC: Primary 11; Secondary 00; 14;
This item is also available as part of a set:

Infinite analysis

Takahiro Kawai — Systems of linear differential equations of infinite order: An aspect of infinite analysis [ MR 1013121 ]

Masaki Kashiwara and Takahiro Kawai — A particular partition of unity: an auxiliary tool in Hodge theory [ MR 1013122 ]

H. P. McKean — Is there an infinitedimensional algebraic geometry? Hints from KdV [ MR 1013123 ]

Motohico Mulase — A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves [ MR 1013124 ]

Mikio Sato — The KP hierarchy and infinitedimensional Grassmann manifolds [ MR 1013125 ]

Integrable systems

Mark Adler — Some geometrical techniques in integrable systems [ MR 1013126 ]

N. Ercolani — Generalized theta functions and homoclinic varieties [ MR 1013127 ]

Shi Rong Lu — Explicit equations for the KP and MKP hierarchies [ MR 1013128 ]

Pierre van Moerbeke — Introduction to algebraic integrable systems and their Painlevé analysis [ MR 1013129 ]

Robert L. Sachs — Polynomial $\tau $functions for the AKNS hierarchy [ MR 1013130 ]

Kanehisa Takasaki — Integrable systems as deformations of $\mathcal {D}$modules [ MR 1013131 ]

KacMoody algebras

E. Arbarello, C. De Concini and V. G. Kac — The infinite wedge representation and the reciprocity law for algebraic curves [ MR 1013132 ]

Victor G. Kac and Minoru Wakimoto — Exceptional hierarchies of soliton equations [ MR 1013133 ]

Andrew Pressley and Vyjayanthi Chari — Unitary representations of some infinitedimensional Lie algebras [ MR 1013134 ]

A. RochaCaridi — On highest weight and Fock space representations of the Virasoro algebra [ MR 1013135 ]

Gregg J. Zuckerman — Modular forms, strings, and ghosts [ MR 1013136 ]

Lattice models

Helen AuYang and Jacques H. H. Perk — Solution of Hirota’s discretetime Toda lattice equation and the critical correlations in the $Z$invariant Ising model [ MR 1013137 ]

Etsurō Date, Michio Jimbo, Tetsuji Miwa and Masato Okado — Solvable lattice models [ MR 1013138 ]

Atsuo Kuniba — Theta function identities in a series of solvable lattice models [ MR 1013139 ]

Jacques H. H. Perk — Startriangle equations, quantum Lax pairs, and higher genus curves [ MR 1013140 ]

Craig A. Tracy — Introduction to exactly solvable models in statistical mechanics [ MR 1013141 ]

Physics

Michio Jimbo — Introduction to holonomic quantum fields for mathematicians [ MR 1013142 ]

Emil Martinec — Quantum field theory: a guide for mathematicians [ MR 1013143 ]

Yukihiko Namikawa — A conformal field theory on Riemann surfaces realized as quantized moduli theory of Riemann surfaces [ MR 1013144 ]

A. Neveu — The physics of string theory [ MR 1013145 ]

Jacobian varieties

Hershel M. Farkas — SchottkyJung theory [ MR 1013146 ]

John Fay — Schottky relations on $\frac 12(CC)$ [ MR 1013147 ]

R. C. Gunning — Analytic identities for theta functions [ MR 1013148 ]

John B. Little — Translation manifolds and the Schottky problem [ MR 1013149 ]

Henrik H. Martens — Mappings of closed Riemann surfaces [ MR 1013150 ]

José Ma. Muñoz Porras — Geometric characterization of Jacobians and the Schottky equations [ MR 1013151 ]

Emma Previato and George Wilson — Vector bundles over curves and solutions of the KP equations [ MR 1013152 ]

Roy Smith and Robert Varley — Deformations of singular points on theta divisors [ MR 1013153 ]

L. A. Takhtajan — Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles [ MR 1013154 ]

Noriaki Yamawaki — Explicit actions of the theta groups for theta divisors on Jacobian surfaces [ MR 1013155 ]

Prym varieties

Arnaud Beauville — Prym varieties: A survey [ MR 1013156 ]

Olivier Debarre — The trisecant conjecture for Pryms [ MR 1013157 ]

Vassil Kanev — Spectral curves, simple Lie algebras, and PrymTjurin varieties [ MR 1013158 ]

Algebraic geometry

Iacopo Barsotti — A new look for thetas [ MR 1013159 ]

L. Breen — The cube structure on the determinant bundle [ MR 1013160 ]

Michael D. Fried and Helmut Völklein — Unramified Abelian extensions of Galois covers [ MR 1013161 ]

William L. Hoyt — On twisted Legendre equations and Kummer surfaces [ MR 1013162 ]

A. B. Jijtchenko — On embedded tangent and secant varieties of projective algebraic varieties [ MR 1013163 ]
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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