network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 1 year, 3 months |
| seen | Mar 5 '12 at 16:36 | |
| stats | profile views | 30 |
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May 14 |
awarded | Teacher |
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Mar 18 |
awarded | Nice Question |
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Mar 1 |
accepted | the discriminant of a function field extension |
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Mar 1 |
accepted | Are these two notions of Galois morphism the same |
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Mar 1 |
asked | Are these two notions of Galois morphism the same |
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Mar 1 |
asked | Bound for the Legendre function of the second kind of degree $1/2$ |
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Feb 29 |
comment |
An open set in a space is homeomorphic to $S^1$. Is the set close? Is $M$ connected? Suppose that $M$ is connected. If $U$ is closed in $M$, then $U$ will be an open and closed set inside $M$, and therefore $M=U$. |
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Feb 28 |
comment |
Is there an algebraic reason why a torus can't contain a projective space? A complex torus of dimension 1 (i.e., an elliptic curve) cannot contain a projective space because the function field of projective space would have to equal the function field of the complex torus. (I assume you want your complex torus contain a projective space as an open subset.) The same argument also holds in higher dimension. I don't know if it is "algebraic: enough though. |
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Feb 28 |
comment |
Bounding the number of integer solutions of the following inequality It probably is related to the number of lattice points in $\mathbf{Z}^4$ within a circle of radius $r$. The exact number is hard to determine (even though there are explicit formulas), but giving a bound on this number is easy. Namely, the number of integer solutions to $a^2+b^2+c^2+d^2 \leq r$ is bounded by $8\sqrt{r}+8$. |
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Feb 28 |
revised |
Bounding the number of integer solutions of the following inequality added 55 characters in body |
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Feb 28 |
comment |
Bounding the number of integer solutions of the following inequality You are completely right. There are (fortunately for me!!) some constraints on $a,b,c,d$. Namely, $ad-bc = 1$ and $(a,b,c,d) = (1,0,0,1) \mod 2$ |
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Feb 28 |
asked | Bounding the number of integer solutions of the following inequality |
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Feb 27 |
revised |
the discriminant of a function field extension added 9 characters in body |
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Feb 27 |
comment |
the discriminant of a function field extension I meant (branched) cover. |
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Feb 27 |
asked | the discriminant of a function field extension |
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Feb 25 |
comment |
Elliptic curves with finitely many rational points You're right, I slightly misunderstood the question. I guess it was already known to the OP that there are infinitely many ell curves with finitely many rational points over $\mathbf{Q}$. The question of parametrizing such a family is a more difficult question. |
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Feb 25 |
answered | Elliptic curves with finitely many rational points |
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Feb 24 |
awarded | Editor |
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Feb 24 |
comment |
Do gonal morphisms have non-trivial automorphisms You're right. I changed it. (The case $g=0$ is automatically excluded because $\mathbf{P}^1$ has gonality $0$.) |
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Feb 24 |
revised |
Do gonal morphisms have non-trivial automorphisms deleted 3 characters in body |
