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Local Cohomology
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961-2 at IHES. It was later written up as SGA2. Applications to commutative algebra and hyperfunction theory followed. There is a long exact sequence of sheaf cohomology linking the ordinary sheaf cohomology of X and of the open set U = X Y, with the local cohomology groups. The initial applications were to analogues of the Lefschetz hyperplane theorems. In general such theorems state that homology or cohomology is supported on a hyperplane section of an algebraic variety, except for some ''loss'' that can be controlled. These results applied to the algebraic fundamental group and to the Picard group.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131259883
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131259883
- Format Fachbuch
- Titel Local Cohomology
- Herausgeber Betascript Publishing
- Anzahl Seiten 88
- Genre Mathematik
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