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Arrangements of Hyperplanes
Language: en
Pages: 337
Authors: Peter Orlik
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged indepen
Hyperplane Arrangements
Language: en
Pages: 208
Authors: Alexandru Dimca
Categories: Mathematics
Type: BOOK - Published: 2017-03-28 - Publisher: Springer

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This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of co
Topics in Hyperplane Arrangements
Language: en
Pages: 639
Authors: Marcelo Aguiar
Categories: Mathematics
Type: BOOK - Published: 2017-11-22 - Publisher: American Mathematical Soc.

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This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, orga
Moduli of Weighted Hyperplane Arrangements
Language: en
Pages: 112
Authors: Valery Alexeev
Categories: Mathematics
Type: BOOK - Published: 2015-05-18 - Publisher: Birkhäuser

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This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are
Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
Language: en
Pages: 116
Authors: Thomas Zaslavsky
Categories: Mathematics
Type: BOOK - Published: 1975 - Publisher: American Mathematical Soc.

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An arrangement of hyperplanes of Euclidean or projective d-space is a finite set of hyperplanes, together with the induced partition of the space. Given the hyp