Integrable Systems and Algebraic Geometry: Volume 2

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Release : 2020-04-02
Genre : Mathematics
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Book Rating : 337/5 ( reviews)

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 and Algebraic Geometry: Volume 1

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Release : 2020-04-02
Genre : Mathematics
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Book Rating : 58X/5 ( reviews)

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.

Integrable Systems in the Realm of Algebraic Geometry

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Release : 2003-07-01
Genre : Mathematics
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Book Rating : 765/5 ( reviews)

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 2003-07-01. Integrable Systems in the Realm of Algebraic Geometry available in PDF, EPUB and Kindle. This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in detail and a few applications of integrable systems to algebraic geometry are worked out. In the second edition some of the concepts in Poisson geometry are clarified by introducting Poisson cohomology; the Mumford systems are constructed from the algebra of pseudo-differential operators, which clarifies their origin; a new explanation of the multi Hamiltonian structure of the Mumford systems is given by using the loop algebra of sl(2); and finally Goedesic flow on SO(4) is added to illustrate the linearizatin algorith and to give another application of integrable systems to algebraic geometry.

Integrable Systems and Algebraic Geometry

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Release : 2020-03-02
Genre : Mathematics
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Book Rating : 77X/5 ( reviews)

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 2020-03-02. 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.

Facets of Algebraic Geometry: Volume 2

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Release : 2022-04-07
Genre : Mathematics
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Book Rating : 547/5 ( reviews)

Facets of 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 Facets of Algebraic Geometry: Volume 2 write by Paolo Aluffi. This book was released on 2022-04-07. Facets of Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.