The Resource Hyperplane Arrangements : An Introduction, by Alexandru Dimca, (electronic resource)

Hyperplane Arrangements : An Introduction, by Alexandru Dimca, (electronic resource)

Label
Hyperplane Arrangements : An Introduction
Title
Hyperplane Arrangements
Title remainder
An Introduction
Statement of responsibility
by Alexandru Dimca
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties. The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject. Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study
Member of
http://library.link/vocab/creatorName
Dimca, Alexandru
Image bit depth
0
LC call number
QA564-609
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry, Algebraic
  • Commutative algebra
  • Commutative rings
  • Functions of complex variables
  • Algorithms
  • Geometry, Projective
  • Combinatorial analysis
  • Mathematics
  • Algebraic Geometry
  • Commutative Rings and Algebras
  • Several Complex Variables and Analytic Spaces
  • Algorithms
  • Projective Geometry
  • Combinatorics
Label
Hyperplane Arrangements : An Introduction, by Alexandru Dimca, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Invitation to the Trip -- Hyperplane Arrangements and their Combinatorics -- Orlik–Solomon Algebras and de Rham Cohomology -- On the Topology of the Complement M(A) -- Milnor Fibers and Local Systems -- Characteristic Varieties and Resonance Varieties -- Logarithmic Connections and Mixed Hodge Structures -- Free Arrangements and de Rham Cohomology of Milnor Fibers
Dimensions
unknown
Extent
XII, 200 p. 18 illus., 17 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319562216
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-56221-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-56221-6
Label
Hyperplane Arrangements : An Introduction, by Alexandru Dimca, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Invitation to the Trip -- Hyperplane Arrangements and their Combinatorics -- Orlik–Solomon Algebras and de Rham Cohomology -- On the Topology of the Complement M(A) -- Milnor Fibers and Local Systems -- Characteristic Varieties and Resonance Varieties -- Logarithmic Connections and Mixed Hodge Structures -- Free Arrangements and de Rham Cohomology of Milnor Fibers
Dimensions
unknown
Extent
XII, 200 p. 18 illus., 17 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319562216
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-56221-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-56221-6

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