Joins And Intersections

Author: H. Flenner
Publisher: Springer Science & Business Media
ISBN: 9783540663195
Size: 75.23 MB
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Joins And Intersections

eBook File: Joins-and-intersections.PDF Book by H. Flenner, Joins And Intersections Books available in PDF, EPUB, Mobi Format. Download Joins And Intersections books, Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.

Language: en
Pages: 301

Joins and Intersections

Authors: H. Flenner, Liam O'Carroll, W. Vogel

Categories: Mathematics

Type: BOOK - Published: 1999-10-08 - Publisher: Springer Science & Business Media

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Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co

Language: en
Pages: 504

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Authors: Robert Potts

Categories: Euclid's Elements

Type: BOOK - Published: 1865 - Publisher:

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Language: en
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Authors: United States. Patent Office

Categories: Patents

Type: BOOK - Published: 1915 - Publisher:

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Language: en
Pages:

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Authors: United States. Patent Office

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Type: BOOK - Published: 1948 - Publisher:

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Language: en
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Authors: Marco Andreatta, Thomas Peternell

Categories: Mathematics

Type: BOOK - Published: 1996-01-01 - Publisher: Walter de Gruyter

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.