Enriques Classification of complex algebraic surfaces This is a rather sketchy (yet hopefully motivated) introduction to minimal models and the Enriques classification of complex algebraic surfaces. In the sequel, a surface means a smooth projective variety of dimension 2 over. Our main source is.
Minimal Surface Elliptic Curve Elliptic Surface Effective Divisor Kodaira Dimension These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques Surfaces. - Bibliography. - Subject Index.
For complex surfaces the Albanese morphism is a key instrument in the Enriques-Kodaira classification. The famous theorem of Green and Lazarsfeld on Generic Vanishing at the end of the eighties focused the attention on the study of the deformation of the cohomology groups by topologically trivial line bundles, and in particular on the.
Absolutely FREE essays on Enrique'S Journey. All examples of topics, summaries were provided by straight-A students. Get an idea for your paper.Learn More
K3 surfaces are basic examples of compact complex surfaces. They are one of the classes in the Enriques-Kodaira classification, and they are the first nontrivial examples of Calabi-Yau manifolds. The first part of this class will cover: 1. Basics of K3 surfaces: examples, cohomology, hodge numbers, polarizations, etc. 2.Learn More
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.Learn More
In this case, by Bombieri and Mumford's classification of minimal surfaces with Kodaira dimension zero, we see that X is a hyperelliptic or quasi-hyperelliptic surface. If a is locally F -split.Learn More
Abstract. The Picard scheme of a smooth curve and a smooth complex variety is reduced. In this note we discuss which classes of surfaces in terms of the Enriques-Kodaira classification can have non-reduced Picard schemes and whether there are restrictions on the characteristic of the ground field.Learn More
Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques Surfaces. - Bibliography. - Subject.Learn More
A characterization of counterexamples to the kodaira-ramanujam vanishing theorem on surfaces in positive characteristic. Chinese Annals of Mathematics, Series B, Vol. 32, Issue. 5, p. 741.. Classification of zeta functions of bielliptic surfaces over finite fields. Mathematical Notes, Vol. 99, Issue. 3-4, p. 397.. Enriques' Classification.Learn More
Castelnuovo-Enriques criterion, 476 505 Castelnuovo-Enriques theorem, 536 Castelnuovo lemma, 531. 806 INDEX Chow's theorem, 167 Classification theorem for surfaces, 590 Clifford's theorem, 251 Coboundary, 38. Kodaira classification of surfaces, 590 Kodaira embedding theorem 181-191,, 207,209,214 Kodaira identity, 100.Learn More
Definitions of Enriques classification, synonyms, antonyms, derivatives of Enriques classification, analogical dictionary of Enriques classification (English).Learn More
Prof. Kodaira's theory of complex surfaces provided a rigorous foundation for the Enriques classification of algebraic surfaces, which originated in Italy in the first half of the 20th century, extended it to a larger category, and provided a good model for the current high-dimensional algebraic geometry.Learn More
Get this from a library! Compact Complex Surfaces. (W Barth; C Peters; A Ven) -- Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification.Learn More