Integrable Systems and Algebraic Geometry: Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry: Volume 1 write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry: Volume 1 available in PDF, EPUB and Kindle. Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
Methods of Algebraic Geometry: Volume 1
Methods of Algebraic Geometry: Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods of Algebraic Geometry: Volume 1 write by W. V. D. Hodge. This book was released on 1994-03-10. Methods of Algebraic Geometry: Volume 1 available in PDF, EPUB and Kindle. All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.
Integrable Systems and Algebraic Geometry: Volume 2
Integrable Systems and Algebraic Geometry: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry: Volume 2 write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
Integrable Systems in the Realm of Algebraic Geometry
Integrable Systems in the Realm of Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems in the Realm of Algebraic Geometry write by Pol Vanhaecke. This book was released on 1996. Integrable Systems in the Realm of Algebraic Geometry available in PDF, EPUB and Kindle. 2. Divisors and line bundles 97 2.1. Divisors . . 97 2.2. Line bundles 98 2.3. Sections of line bundles 99 2.4. The Riemann-Roch Theorem 101 2.5. Line bundles and embeddings in projective space 103 2.6. Hyperelliptic curves 104 3. Abelian varieties 106 3.1. Complex tori and Abelian varieties 106 3.2. Line bundles on Abelian varieties 107 3.3. Abelian surfaces 109 4. Jacobi varieties . . . 112 4.1. The algebraic Jacobian 112 4.2. The analytic/trancendental Jacobian 112 4.3. Abel's Theorem and Jacobi inversion 116 4.4. Jacobi and Kummer surfaces 118 4.5. Abelian surfaces of type (1.4) 120 V. Algebraic completely integrable Hamiltonian systems 123 1. Introduction . 123 2. A.c.i. systems 125 3. Painleve analysis for a.c.i. systems 131 4. Linearization of two-dimensional a.c.i. systems 134 5. Lax equations 136 VI. The master systems 139 1. Introduction . . . . .
Integrable Systems and Algebraic Geometry
Integrable Systems and Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry available in PDF, EPUB and Kindle. A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
