Ample subvarieties of algebraic varieties

The intention of the course, upon which these notes are based, was to develop a notion of ample subvariety, which should generalize to higher codimensions the concept of an ample divisor. So far no single property of a subvariety has appeared to give an appropriate definition of "ampleness&quo...

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Bibliographic Details
Main Author: Hartshorne, Robin
Other Authors: Musili, C
Format: Book
Language:English
Published: Berlin ; New York : Springer-Verlag, 1970
Berlin, New York : 1970
Berlin, New York, 1970
Berlin ; New York : 1970
Series:Lecture notes in mathematics (Springer-Verlag) ; 156
Lecture notes in mathematics (Springer-Verlag) 156
Subjects:
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245 1 0 |a Ample subvarieties of algebraic varieties  |c Notes written in collaboration with C. Musili. 
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490 1 |a Lecture notes in mathematics ;  |v 156 
490 1 |a Lecture notes in mathematics, 156 
490 1 |a Lecture notes in mathematics,  |v 156 
500 |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC  |5 CTY 
504 |a Bibliography: p. [242]-256 
504 |a Bibliography: pages [242]-256 
505 0 |a Ample divisors -- Affine open subsets -- Generalization to higher codimensions -- The Grothendieck-Lefschetz theorems -- Formal-rational functions along a subvariety -- Algebraic geometry and analytic geometry 
520 |a The intention of the course, upon which these notes are based, was to develop a notion of ample subvariety, which should generalize to higher codimensions the concept of an ample divisor. So far no single property of a subvariety has appeared to give an appropriate definition of "ampleness". So instead we have considered a number of different properties, each one of which generalizes in one way or another the notion of an ample divisor, and we have attempted to clarify the relations between these properties 
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