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OverviewThe main topics discussed at the D. M. V. Seminar were the connectedness theorems of Fulton and Hansen, linear normality and subvarieties of small codimension in projective spaces. They are closely related; thus the connectedness theorem can be used to prove the inequality-part of Hartshorne's conjecture on linear normality, whereas Deligne's generalisation of the connectedness theorem leads to a refinement of Barth's results on the topology of varieties with small codimension in a projective space. The material concerning the connectedness theorem itself (including the highly surprising application to tamely ramified coverings of the projective plane) can be found in the paper by Fulton and the first author: W. Fulton, R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Lecture Notes in Math. 862, p. 26-92 (Springer 1981). It was never intended to be written out in these notes. As to linear normality, the situation is different. The main point was an exposition of Zak's work, for most of which there is no reference but his letters. Thus it is appropriate to take an extended version of the content of the lectures as the central part of these notes. Full Product DetailsAuthor: R. Lazarsfeld , VenPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1984 ed. Volume: 4 Dimensions: Width: 17.80cm , Height: 0.20cm , Length: 25.40cm Weight: 0.133kg ISBN: 9783764316600ISBN 10: 3764316608 Pages: 52 Publication Date: 01 January 1984 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface.- 1. Preliminaries; the four standard Severi varieties.- 2. Quadrics on a Severi variety.- 3. Dimensions of Severi varieties.- 4. The classification of Severi varieties.- References.- Addendum.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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