Is there a holomorphic diffeomorphism of $mathbb{C}P^{2n+1}$ without fixed point?
up vote
0
down vote
favorite
Is there a holomorphic diffeomorphism $f:mathbb{C}P^{2n+1}to mathbb{C}P^{2n+1}$ without fixed point?
complex-analysis fixed-point-theorems projective-space
add a comment |
up vote
0
down vote
favorite
Is there a holomorphic diffeomorphism $f:mathbb{C}P^{2n+1}to mathbb{C}P^{2n+1}$ without fixed point?
complex-analysis fixed-point-theorems projective-space
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Is there a holomorphic diffeomorphism $f:mathbb{C}P^{2n+1}to mathbb{C}P^{2n+1}$ without fixed point?
complex-analysis fixed-point-theorems projective-space
Is there a holomorphic diffeomorphism $f:mathbb{C}P^{2n+1}to mathbb{C}P^{2n+1}$ without fixed point?
complex-analysis fixed-point-theorems projective-space
complex-analysis fixed-point-theorems projective-space
edited Nov 20 at 17:38
asked Nov 20 at 16:03
Ali Taghavi
186329
186329
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
up vote
2
down vote
accepted
No. The holomorphic diffeomorphisms of $mathbb C P^n$ are $PGL_{n+1}$. These always have fixed points because every matrix has an eigenvector.
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
No. The holomorphic diffeomorphisms of $mathbb C P^n$ are $PGL_{n+1}$. These always have fixed points because every matrix has an eigenvector.
add a comment |
up vote
2
down vote
accepted
No. The holomorphic diffeomorphisms of $mathbb C P^n$ are $PGL_{n+1}$. These always have fixed points because every matrix has an eigenvector.
add a comment |
up vote
2
down vote
accepted
up vote
2
down vote
accepted
No. The holomorphic diffeomorphisms of $mathbb C P^n$ are $PGL_{n+1}$. These always have fixed points because every matrix has an eigenvector.
No. The holomorphic diffeomorphisms of $mathbb C P^n$ are $PGL_{n+1}$. These always have fixed points because every matrix has an eigenvector.
edited Nov 20 at 17:55
answered Nov 20 at 17:38
Ben
2,136616
2,136616
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3006503%2fis-there-a-holomorphic-diffeomorphism-of-mathbbcp2n1-without-fixed-poin%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown