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Theta Functions–Bowdoin 1987, Part 1
Edited by:
Robert C. Gunning
Hardcover ISBN: | 978-0-8218-1483-3 |
Product Code: | PSPUM/49.1 |
List Price: | $139.00 |
MAA Member Price: | $125.10 |
AMS Member Price: | $111.20 |
eBook ISBN: | 978-0-8218-9344-9 |
Product Code: | PSPUM/49.1.E |
List Price: | $135.00 |
MAA Member Price: | $121.50 |
AMS Member Price: | $108.00 |
Hardcover ISBN: | 978-0-8218-1483-3 |
eBook: ISBN: | 978-0-8218-9344-9 |
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 |
Click above image for expanded view
Theta Functions–Bowdoin 1987, Part 1
Edited by:
Robert C. Gunning
Hardcover ISBN: | 978-0-8218-1483-3 |
Product Code: | PSPUM/49.1 |
List Price: | $139.00 |
MAA Member Price: | $125.10 |
AMS Member Price: | $111.20 |
eBook ISBN: | 978-0-8218-9344-9 |
Product Code: | PSPUM/49.1.E |
List Price: | $135.00 |
MAA Member Price: | $121.50 |
AMS Member Price: | $108.00 |
Hardcover ISBN: | 978-0-8218-1483-3 |
eBook ISBN: | 978-0-8218-9344-9 |
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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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 49; 1989; 728 ppMSC: Primary 11; Secondary 00; 14This 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 infinite-dimensional 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 infinite-dimensional 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 ]
-
Kac-Moody 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 infinite-dimensional Lie algebras [ MR 1013134 ]
-
A. Rocha-Caridi — 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 Au-Yang and Jacques H. H. Perk — Solution of Hirota’s discrete-time 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 — Star-triangle 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 — Schottky-Jung theory [ MR 1013146 ]
-
John Fay — Schottky relations on $\frac 12(C-C)$ [ 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
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Arnaud Beauville — Prym varieties: A survey [ MR 1013156 ]
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Olivier Debarre — The trisecant conjecture for Pryms [ MR 1013157 ]
-
Vassil Kanev — Spectral curves, simple Lie algebras, and Prym-Tjurin 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 infinite-dimensional 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 infinite-dimensional 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 ]
-
Kac-Moody 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 infinite-dimensional Lie algebras [ MR 1013134 ]
-
A. Rocha-Caridi — 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 Au-Yang and Jacques H. H. Perk — Solution of Hirota’s discrete-time 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 — Star-triangle 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 — Schottky-Jung theory [ MR 1013146 ]
-
John Fay — Schottky relations on $\frac 12(C-C)$ [ 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 Prym-Tjurin 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
Please select which format for which you are requesting permissions.