Trying to understand complexification of a real hyperplane arrangement.
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I am reading the paper and trying to understand the complexification of a real hyperplane arrangement.
In the paper, it is said that
Let $V$ be a finite dimensional vector space over the real or complex numbers.
A real (or complex) arrangement in $V$ is a finite collection of real (or
complex) affine hyperplanes. A real arrangement in $V$ can be complexified to
form a complex arrangement in the complex vector space $V otimes_{mathbb{R}} mathbb{C}$.
Are there some examples which explains the complexification of a real hyperplane arrangement? Thank you very much.
combinatorics geometry algebraic-topology
asked Nov 13 at 13:15
LJR
6,50741648
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up vote
0
down vote
favorite
I am reading the paper and trying to understand the complexification of a real hyperplane arrangement.
In the paper, it is said that
Let $V$ be a finite dimensional vector space over the real or complex numbers.
A real (or complex) arrangement in $V$ is a finite collection of real (or
complex) affine hyperplanes. A real arrangement in $V$ can be complexified to
form a complex arrangement in the complex vector space $V otimes_{mathbb{R}} mathbb{C}$.
Are there some examples which explains the complexification of a real hyperplane arrangement? Thank you very much.
combinatorics geometry algebraic-topology
asked Nov 13 at 13:15
LJR
6,50741648
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am reading the paper and trying to understand the complexification of a real hyperplane arrangement.
In the paper, it is said that
Let $V$ be a finite dimensional vector space over the real or complex numbers.
A real (or complex) arrangement in $V$ is a finite collection of real (or
complex) affine hyperplanes. A real arrangement in $V$ can be complexified to
form a complex arrangement in the complex vector space $V otimes_{mathbb{R}} mathbb{C}$.
Are there some examples which explains the complexification of a real hyperplane arrangement? Thank you very much.
combinatorics geometry algebraic-topology
asked Nov 13 at 13:15
LJR
6,50741648
I am reading the paper and trying to understand the complexification of a real hyperplane arrangement.
In the paper, it is said that
Let $V$ be a finite dimensional vector space over the real or complex numbers.
A real (or complex) arrangement in $V$ is a finite collection of real (or
complex) affine hyperplanes. A real arrangement in $V$ can be complexified to
form a complex arrangement in the complex vector space $V otimes_{mathbb{R}} mathbb{C}$.
Are there some examples which explains the complexification of a real hyperplane arrangement? Thank you very much.
combinatorics geometry algebraic-topology
combinatorics geometry algebraic-topology
asked Nov 13 at 13:15
LJR
6,50741648
asked Nov 13 at 13:15
LJR
6,50741648
asked Nov 13 at 13:15
LJR
6,50741648
asked Nov 13 at 13:15
LJR
6,50741648
asked Nov 13 at 13:15
LJR
6,50741648
6,50741648
add a comment |
add a comment |
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