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Results tagged with ag.algebraic-geometry
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user 343850
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
0
votes
0
answers
96
views
Polynomial sparsity of conductors of elliptic curves
Let $f:\mathbb{N}\to\mathbb{N}$ be the map sending $n$ to the number of isomorphism classes of elliptic curves over $\mathbb{Q}$ with conductor $n$.
Is there a polynomial $P$ such that $P(f(n))>n$ for …
- 183
1
vote
0
answers
67
views
Curves covering elliptic curves with polynomially bounded genus
Let $S$ be the set of isomorphism classes of elliptic curves over $\mathbb{Q}$. Consider the following claim.
There is a map $f:S\to \mathbb{N}$ such that $|f^{-1}(n)|$ is finite for all $n\in \mathb …
- 183
15
votes
1
answer
336
views
Are there only finitely many $m$ such that $m$ is the number of elliptic curves with a given...
Let $f:\mathbb{N}\to\mathbb{N}$ be the map sending $n$ to the number of isomorphism classes of elliptic curves over $\mathbb{Q}$ with conductor $n$.
Is $f(\mathbb{N})$ finite?
- 183
2
votes
1
answer
157
views
Any finite number of curves over $\mathbb{Q}$ have a common cover
Given a finite number of algebraic curves over $\mathbb{Q}$ is there a curve that covers all of them?
- 183