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eBook Open Algebraic Surfaces (Crm Monograph Series) ePub

by Masayoshi Miyanishi

  • ISBN: 0821805045
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Masayoshi Miyanishi
  • Language: English
  • Publisher: American Mathematical Society, Centre de Recherches Mathematiques (November 21, 2000)
  • Pages: 259
  • ePub book: 1260 kb
  • Fb2 book: 1575 kb
  • Other: azw lit lrf doc
  • Rating: 4.6
  • Votes: 176

Description

An Artin-Schreier covering of the affine plane is a hypersurface in defined by an equation M. Miyanishi, Open Algebraic Surfaces, CRM Monograph Series 12, Amer.

An Artin-Schreier covering of the affine plane is a hypersurface in defined by an equation. Modelling on hypersurfaces of this type, we consider in the present article a normal affine domain B with a -action which is written in the form, with, where is the G-invariant subring. M.

Open algebraic surfaces are a synonym for algebraic surfaces that are not . Miyanishi, Masayoshi was born on September 14, 1940 in Ohtsu, Shiga, Japan.

Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. Prerequisite to understanding the text is a basic background in algebraic geometry.

Open Algebraic Surfaces book. Open algebraic surfaces are a synonym for algebraic surfaces that.

Miyanishi, Open Algebraic Surfaces, CRM Monograph Series, Vol. 12, Amer. So. Providence, RI, 2000. Zaidenberg, Affine lines on ( mathbb{Q} ) -homology planes and group actions, Transform. Groups 11 (2006), 725–735.

Open Algebraic Surfaces. Published: 21 November 2000. by American Mathematical Society (AMS). in CRM Monograph Series. CRM Monograph Series, Volume 12; doi:10.

Miyanishi, Open algebraic surfaces, CRM Monograph Series 12, American Mathematical Society, Providence, RI, 2001. Zhang, Logarithmic del Pezzo surfaces of rank one with contractible boundaries, Osaka J. Math. Zhang, Logarithmic del Pezzo surfaces with rational double and triple singular points, Tohoku Math. J. 41 (1989), 399–452. Niigata University, Department of Mathematics.

oceedings{Miyanishi2001OpenAS, title {Open Algebraic Surfaces}, author {Masayoshi Miyanishi}, year {2001} .

oceedings{Miyanishi2001OpenAS, title {Open Algebraic Surfaces}, author {Masayoshi Miyanishi}, year {2001} }. Masayoshi Miyanishi. To put the subject matter of " Open Algebraic Surfaces " in perspective, let me begin with a very classical question: If k ⊂ L are fields and L ⊂ k(x 1, · · ·, x n) k (n) (field of rational functions), is L purely transcendental over k? (Then L k (d), d transcendence degree of L over k. This is the " right " measure for the dimension of the problem, one can easily reduce it to the case n . The answer is yes if d 1 by Lüroth's Theorem.

Non-complete Algebraic Surfaces. Non-complete algebraic surfaces with logarithmic Kodaira dimension 0 or 1. Pages 130-191. Miyanishi, Masayoshi. Non-complete algebraic surfaces with logarithmic Kodaira dimension 2. Pages 192-233.

M. Miyanishi, Open algebraic surfaces, CRM Monograph Series, vol. 12, American Mathematical Society, 2001.

Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic background in algebraic geometry. This volume is a continuation of the work presented in the author's previous publication, Algebraic Geometry, Volume 136 in the AMS series, Translations of Mathematical Monographs.