Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians: Encyclopaedia of Mathematical Sciences, cartea 36
Editat de A.N. Parshin Traducere de I. Rivin Contribuţii de V.S. Kulikov Editat de I.R. Shafarevich Contribuţii de P.F. Kurchanov, V.V. Shokuroven Limba Engleză Hardback – 8 dec 1997
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Specificații
ISBN-13: 9783540546818
ISBN-10: 3540546812
Pagini: 270
Ilustrații: VIII, 270 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.58 kg
Ediția:1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540546812
Pagini: 270
Ilustrații: VIII, 270 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.58 kg
Ediția:1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
I. Complex Algebraic Varieties: Periods of Integrals and Hodge Structures.- II. Algebraic Curves and Their Jacobians.
Textul de pe ultima copertă
The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields - some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties.
The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford.
The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford.