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Hyperplane Section
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
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High Quality Content by WIKIPEDIA articles!In mathematics, a hyperplane section of a subset X of projective space Pn is the intersection of X with some hyperplane H in other words we look at the subset XH of those elements x of X that satisfy the single linear condition L = 0 defining H as a linear subspace. Here L or H can range over the dual projective space of non-zero linear forms in the homogeneous coordinates, up to scalar multiplication. From a geometrical point of view, the most interesting case is when X is an algebraic subvariety for more general cases, in mathematical analysis, some analogue of the Radon transform applies. In algebraic geometry, assuming therefore that X is V, a subvariety not lying completely in any H, the hyperplane sections are algebraic sets with irreducible components all of dimension n 1. What more can be said is addressed by a collection of results known collectively as Bertini's theorem.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131200236
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131200236
- Format Fachbuch
- Titel Hyperplane Section
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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