LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.5
Title	Topics in the Geometry of Projective Space ([EBook]) : Recent Work of F.L. Zak / by R. Lazarsfeld, A. Van de Ven.
Author	Lazarsfeld, Robert
Added Personal Name	Ven, Alphons van de
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1984.
Physical Details	52 pages : online resource.
Series	DMV Seminar ; 4
ISBN	9783034893480
Summary Note	The 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.:
Contents note	Preface -- 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-9348-0
Links to Related Works	Subject References: Projective spaces . Science, general . Authors: author . Lazarsfeld, Robert . Ven, Alphons van de . Ven, Alphons van de . Corporate Authors: SpringerLink (Online service) . Series: DMV Seminar . Classification: 516.5 .

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Topics in the Geometry of Projective Space: Recent Work of F.L. Zak

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