Joins and intersections /

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Bibliographic Details
Main Author: Flenner, H. (Hubert)
Other Authors: O'Carroll, L. (Liam), Vogel, Wolfgang, 1940-
Format: Book
Language:English
Published: Berlin ; New York : Springer, ©1999.
Series:Springer monographs in mathematics
Subjects:

MARC

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100 1 |a Flenner, H.  |q (Hubert) 
245 1 0 |a Joins and intersections /  |c H. Flenner, L. O'Carroll, W. Vogel. 
260 |a Berlin ;  |a New York :  |b Springer,  |c ©1999. 
300 |a vi, 307 pages ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Springer monographs in mathematics 
504 |a Includes bibliographical references (pages [291]-298) and indexes. 
505 0 0 |g 1.  |t The Classical Bezout Theorem.  |g 1.1.  |t Degrees of Projective Schemes.  |g 1.2.  |t Multiplicities of Local Rings.  |g 1.3.  |t Joins.  |g 1.4.  |t The Classical Bezout Theorem.  |g 1.5.  |t Genetic Bertini Theorems --  |g 2.  |t The Intersection Algorithm and Applications.  |g 2.1.  |t The Intersection Algorithm.  |g 2.2.  |t Application I: The Refined Bezout Theorem.  |g 2.3.  |t Segre Classes, [upsilon]-Cycles and Positivity.  |g 2.4.  |t Segre Classes: The General Case.  |g 2.5.  |t Limits of Joins and Intersections --  |g 3.  |t Connectedness and Bertini Theorems.  |g 3.1.  |t Connectedness Theorems.  |g 3.2.  |t Applications to Intersections and Singularities of Mappings.  |g 3.3.  |t Open Loci Results and the Generic Principle.  |g 3.4.  |t Bertini Theorems.  |g 3.5.  |t Grothendieck's Finiteness Theorem and Applications.  |g 3.6.  |t A Relative Version of Krull's Principal Ideal Theorem --  |g 4.  |t Joints and Intersections.  |g 4.1.  |t Linear Projections.  |g 4.2.  |t Tangencies of Algebraic Varieties.  |g 4.3.  |t Embedded Tangent Spaces and Tangent Cones.  |g 4.4.  |t Dual Varieties and the Gauss Map.  |9 bnatoc 
505 8 0 |g 4.5.  |t Superadditivity of Join Defects.  |g 4.6.  |t Joins, Vertices and Higher Join Varieties.  |g 4.7.  |t Higher Secant Varieties of Rational Normal Scrolls --  |g 5.  |t Converse to Bezout's Theorem.  |g 5.1.  |t Joins of Minimal Dimension.  |g 5.2.  |t A Numerical Criterion for Proper Intersection.  |g 5.3.  |t The Arithmetically Cohen-Macaulay Case.  |g 5.4.  |t A Local Version of Bezout's Theorem --  |g 6.  |t Intersection Numbers and their Properties.  |g 6.1.  |t A General Version of the j-Multiplicity.  |g 6.2.  |t Intersection Numbers.  |g 6.3.  |t Criteria for Bounded Multiplicity.  |g 6.4.  |t Examples and Problems --  |g 7.  |t Linkage, Koszul Cohomology and Intersections.  |g 7.1.  |t Linkage.  |g 7.2.  |t Strongly Cohen-Macaulay Subschemes.  |g 7.3.  |t Linkage and the Strong Cohen-Macaulay Property.  |g 7.4.  |t Applications to Cones, Joins and Secant Varieties.  |g 7.5.  |t Secant Varieties for Two Dimensional Singularities.  |g 7.6.  |t Limits of Joins for Small Deviation --  |g 8.  |t Further Applications.  |g 8.1.  |t Generic Residual Intersections.  |g 8.2.  |t Generic Projections and Double Point Cycles.  |9 bnatoc 
505 8 0 |g 8.3.  |t Generic Projections and the Ramification Cycle.  |g 8.4.  |t Trisecant Varieties and Inner Projections.  |g App. A.1.  |t Some Standard Results from Commutative Algebra --  |g App. A.2.  |t Gorenstein Rings --  |g App. A.3.  |t Historical Remarks.  |9 bnatoc 
650 0 |a Intersection theory (Mathematics) 
650 0 |a Commutative algebra 
650 0 |a Geometry, Algebraic 
700 1 |a O'Carroll, L.  |q (Liam) 
700 1 |a Vogel, Wolfgang,  |d 1940- 
830 0 |a Springer monographs in mathematics 
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