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Surface of Class VII
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, surfaces of class VII are non-algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension and first Betti number 1. Minimal surfaces of class VII (those with no rational curves with self-intersection 1) are called surfaces of class VII0. Every class VII surface is birational to a unique minimal class VII surface, and can be obtained from this minimal surface by blowing up points a finite number of times. The name "class VII" comes from (Kodaira 1964, theorem 21), which divided minimal surfaces into 7 classes numbered I0 to VII0. However Kodaira''s class VII0 did not have the condition that the Kodaira dimension is , but instead had the condition that the geometric genus is 0. As a result, his class VII0 also included some other surfaces, such as secondary Kodaira surfaces, that are no longer considered to be class VII as they do not have Kodaira dimension . The minimal surfaces of class VII are the class numbered "7" on the list of surfaces in (Kodaira 1968, theorem 55).
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131232749
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131232749
- Format Fachbuch
- Titel Surface of Class VII
- Herausgeber Betascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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