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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
3
votes
0
answers
193
views
Unirationality and the Hasse principle
Is there an example of a quasiprojective variety $X$ defined over ℚ such that
$X$ is unirational over all finite fields, and
$X$ is unirational over $\mathbb{R}$, and
$X$ is not unirational over $\m …
5
votes
0
answers
212
views
Unirationality over $\mathbb{Q}$
It is known that all smooth projective quartic hypersurfaces of suitably large dimension are unirational over $\overline{\mathbb{Q}}$. Are there any results regarding unirationality over $\mathbb{Q}$ …
2
votes
0
answers
117
views
polynomials with no repeated factors
Assume that $F(x_1,\ldots, x_n)$ is a polynomial with integer coefficients that is "square-free" over $\mathbb Q$, i.e. it does not have repeated polynomial factors whose coefficients are in $\mathbb …