Download EBOOK Integrable Systems in the Realm of Algebraic Geometry PDF for free


Download EBOOK Integrable Systems in the Realm of Algebraic Geometry PDF for free Category: Science & Geography
The author of the book: Pol Vanhaecke
Format files: PDF, EPUB, TXT, DOCX
The size of the: 35.84 MB
Language: English
ISBN-13: 9783540423379
Edition: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date of issue: 1 August 2001

Description of the book "Integrable Systems in the Realm of Algebraic Geometry":

2. Divisors and line bundles ...99. 2.1. Divisors ...99. 2.2. Line bundles ...100. 2.3. Sections of line bundles ...101. 2.4. The Riemann-Roch Theorem ...103. 2.5. Line bundles and embeddings in projective space ...105. 2.6. Hyperelliptic curves ...106. 3. Abelian varieties ...108. 3.1. Complex tori and Abelian varieties ...108. 3.2. Line bundles on Abelian varieties ...109. 3.3. Abelian surfaces ...111. 4. Jacobi varieties ...114. 4.1. The algebraic Jacobian ...114. 4.2. The analytic/transcendental Jacobian ...114. 4.3. Abel's Theorem and Jacobi inversion ...119. 4.4. Jacobi and Kummer surfaces ...121. 5. Abelian surfaces of type (1,4) ...123. 5.1. The generic case ...123. 5.2. The non-generic case ...124. V. Algebraic completely integrable Hamiltonian systems ...127. 1. Introduction ...127. 2. A.c.i. systems ...129. 3. Painlev~ analysis for a.c.i, systems ...135. 4. The linearization of two-dkmensional a.e.i, systems ...138. 5. Lax equations ...140. VI. The PDF Mumford systems ...143. 1. Introduction ...143. 2. Genesis ...145. 2.1. The algebra of pseudo-differential operators ...145. 2.2. The matrix associated to two commuting operators ...146. 2.3. The inverse construction ...150. 2.4. The KP vector fields ...152. ix 3. Multi-Hamiltonian structure and symmetries ...155. 3.1. The loop algebra 9(q ...155. 3.2. Reducing the R-brackets and the vector field ~ ...157. 4. The odd and the even Mumford systems ...161. 4.1. The (odd) Mumford system ...161. 4.2. The even Mumford system ...163.

Download EBOOK Integrable Systems in the Realm of Algebraic Geometry PDF for free


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Pol Vanhaecke

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Download EBOOK Integrable Systems in the Realm of Algebraic Geometry PDF for free



Download EBOOK Integrable Systems in the Realm of Algebraic Geometry for free

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