Topics in the Geometry of Projective Space: Recent Work of F.L. Zak: 4 (Oberwolfach Seminars, 4) - Tapa blanda

Lazarsfeld, R.

 
9783764316600: Topics in the Geometry of Projective Space: Recent Work of F.L. Zak: 4 (Oberwolfach Seminars, 4)
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ISBN 10: 3764316608 ISBN 13: 9783764316600
Editorial: Springer, 2013

Sinopsis

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.

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Reseña del editor

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.

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Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3764316608
ISBN 13 
9783764316600
Encuadernación
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Número de páginas
56
Contacto del fabricante
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783034893497: Topics in the Geometry of Projective Space: Recent Work of F.L. Zak

Edición Destacada

ISBN 10:  3034893493 ISBN 13:  9783034893497
Editorial: Birkhäuser, 2012
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