CAS for counting points of varieties over finite fields
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I am looking for a computer algebra system that is able to do some of the following (equivalent in theory) things for a smooth projective variety defined over a finite field:
Count the number of points defined over a certain field extension.
Compute the eigenvalues of Frobenius on etale Cohomology.
Compute the Zeta function.
reference-request finite-fields math-software arithmetic-geometry computer-algebra-systems
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
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add a comment |
$begingroup$
I am looking for a computer algebra system that is able to do some of the following (equivalent in theory) things for a smooth projective variety defined over a finite field:
Count the number of points defined over a certain field extension.
Compute the eigenvalues of Frobenius on etale Cohomology.
Compute the Zeta function.
reference-request finite-fields math-software arithmetic-geometry computer-algebra-systems
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
$endgroup$
1
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23
add a comment |
$begingroup$
I am looking for a computer algebra system that is able to do some of the following (equivalent in theory) things for a smooth projective variety defined over a finite field:
Count the number of points defined over a certain field extension.
Compute the eigenvalues of Frobenius on etale Cohomology.
Compute the Zeta function.
reference-request finite-fields math-software arithmetic-geometry computer-algebra-systems
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
$endgroup$
I am looking for a computer algebra system that is able to do some of the following (equivalent in theory) things for a smooth projective variety defined over a finite field:
Count the number of points defined over a certain field extension.
Compute the eigenvalues of Frobenius on etale Cohomology.
Compute the Zeta function.
reference-request finite-fields math-software arithmetic-geometry computer-algebra-systems
reference-request finite-fields math-software arithmetic-geometry computer-algebra-systems
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
edited Dec 8 '18 at 23:42
Rodrigo de Azevedo
12.9k41856
12.9k41856
asked Aug 29 '12 at 9:49
JanJan
837915
asked Aug 29 '12 at 9:49
JanJan
837915
asked Aug 29 '12 at 9:49
JanJan
837915
837915
1
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23
add a comment |
1
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23
1
1
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23
add a comment |
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1
$begingroup$
I'm no expert, but Sage would be my guess
$endgroup$
– Juan S
Aug 29 '12 at 10:15
$begingroup$
In the past my colleagues have used MAGMA to find answers to (at least) the first question.
$endgroup$
– Jyrki Lahtonen
Aug 30 '12 at 10:23