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Xander Faber

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Name Xander Faber
Member for 2 years
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Location Honolulu, HI
Age 33
21h
answered Checking if a binary vector lies in the affine span of given binary vectors
1d
comment Schemes over a noetherian local ring and its completion
Great example! If I understand correctly, the fact that $R$ has dimension $>1$ means that you can arrange a descent obstruction without touching the generic fiber of $\mathbb{P}^1_R$.
1d
comment Schemes over a noetherian local ring and its completion
@Laurent Many thanks! This article is exactly what I need!
Jun
15
comment Schemes over a noetherian local ring and its completion
Anon - reference?
Jun
15
revised Schemes over a noetherian local ring and its completion
Generic fiber hypothesis added.
Jun
15
comment Schemes over a noetherian local ring and its completion
Nice! This example evaporates if I add an extra hypothesis on the generic fiber of $X$, so I will update my question.
Jun
14
asked Schemes over a noetherian local ring and its completion
Mar
5
comment Catalan-type equations for prime powers
Suppose that $p,p+k,p+2k$ is a $3$-term arithmetic progression of primes with $p$ large. Does one have any control over $k$? For example, is it possible to take $k \ll p^{1-\epsilon}$?
Mar
5
comment Catalan-type equations for prime powers
@Michael and JSE: Many thanks!
Mar
5
asked Catalan-type equations for prime powers
Mar
4
awarded  Yearling
Jan
21
answered Reference request for the theory of heights over function fields