Integrable systems in the realm of algebraic geometry /
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| Author / Creator: | Vanhaecke, Pol, 1963- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1996. |
| Description: | 1 online resource (viii, 218 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics ; 1638 Lecture notes in mathematics (Springer-Verlag) ; 1638. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11075058 |
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| 100 | 1 | |a Vanhaecke, Pol, |d 1963- |0 http://id.loc.gov/authorities/names/n96094884 |1 http://viaf.org/viaf/115293228 | |
| 245 | 1 | 0 | |a Integrable systems in the realm of algebraic geometry / |c Pol Vanhaecke. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1996. | ||
| 300 | |a 1 online resource (viii, 218 pages) : |b illustrations. | ||
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| 490 | 1 | |a Lecture notes in mathematics ; |v 1638 | |
| 504 | |a Includes bibliographical references (pages 209-215) and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
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| 588 | 0 | |a Print version record. | |
| 520 | |a Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed. | ||
| 505 | 0 | |a I. Introduction -- II. Integrable Hamiltonian systems on affine Poisson varieties -- III. Integrable Hamiltonian systems and symmetric products of curves -- IV. Interludium: the geometry of Abelian varieties -- V. Algebraic completely integrable Hamiltonian systems -- VI. The master systems -- VII. The Garnier and Hénon-Heiles potentials and the Toda lattice -- References. | |
| 650 | 0 | |a Abelian varieties. |0 http://id.loc.gov/authorities/subjects/sh85000130 | |
| 650 | 0 | |a Hamiltonian systems. |0 http://id.loc.gov/authorities/subjects/sh85058563 | |
| 650 | 7 | |a Abelian varieties. |2 fast |0 (OCoLC)fst00794347 | |
| 650 | 7 | |a Hamiltonian systems. |2 fast |0 (OCoLC)fst00950772 | |
| 650 | 1 | 7 | |a Variëteiten van Abel. |2 gtt |
| 650 | 0 | 7 | |a Algebraische Geometrie. |2 swd |
| 650 | 0 | 7 | |a Integrables System. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Vanhaecke, Pol, 1963- |t Integrable systems in the realm of algebraic geometry. |d Berlin ; New York : Springer-Verlag, ©1996 |w (OCoLC)36328628 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1638. | |
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