03783nam a22005655i 4500
978-3-319-56221-6
DE-He213
20181204134418.0
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170329s2017 gw | s |||| 0|eng d
9783319562216
978-3-319-56221-6
10.1007/978-3-319-56221-6
doi
ISI Library, Kolkata
QA564-609
PBMW
bicssc
MAT012010
bisacsh
PBMW
thema
516.35
23
Dimca, Alexandru.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Hyperplane Arrangements
[electronic resource] :
An Introduction /
by Alexandru Dimca.
Cham :
Springer International Publishing :
Imprint: Springer,
2017.
XII, 200 p. 18 illus., 17 illus. in color.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
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rdacarrier
text file
PDF
rda
Universitext,
0172-5939
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.
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.
Geometry, algebraic.
Algebra.
Differential equations, partial.
Algorithms.
Combinatorics.
Algebraic Geometry.
http://scigraph.springernature.com/things/product-market-codes/M11019
Commutative Rings and Algebras.
http://scigraph.springernature.com/things/product-market-codes/M11043
Several Complex Variables and Analytic Spaces.
http://scigraph.springernature.com/things/product-market-codes/M12198
Algorithms.
http://scigraph.springernature.com/things/product-market-codes/M14018
Projective Geometry.
http://scigraph.springernature.com/things/product-market-codes/M21050
Combinatorics.
http://scigraph.springernature.com/things/product-market-codes/M29010
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319562209
Printed edition:
9783319562223
Universitext,
0172-5939
https://doi.org/10.1007/978-3-319-56221-6
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
427058
427058