Variety over Finite field induced by mod pLine bundles on open subset of projective variety that don't extend over entire varietyQuotient varietiesWhat is a $p$-adic analytic variety?What is completion of $mathbfSpec mathbb C[lambda, lambda^-1]$Showing that a Severi-Brauer Variety with a point is trivialThe variety $V_p$ given by $X^2 + Y^2 = pZ^2$What are the finite etale covers of a Calabi-Yau variety?Degree of variety over $mathbbQ$ versus over $mathbbF_p$The 3-torsion Points of an Elliptic Curve over Finite FieldsSmooth proper variety over $mathbb Q$ with everywhere bad reduction
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Variety over Finite field induced by mod p
Line bundles on open subset of projective variety that don't extend over entire varietyQuotient varietiesWhat is a $p$-adic analytic variety?What is completion of $mathbfSpec mathbb C[lambda, lambda^-1]$Showing that a Severi-Brauer Variety with a point is trivialThe variety $V_p$ given by $X^2 + Y^2 = pZ^2$What are the finite etale covers of a Calabi-Yau variety?Degree of variety over $mathbbQ$ versus over $mathbbF_p$The 3-torsion Points of an Elliptic Curve over Finite FieldsSmooth proper variety over $mathbb Q$ with everywhere bad reduction
$begingroup$
So I was thinking about this question earlier, and I could not find a good reference for it or think of a solution. Suppose I am given a variety over a finite field, $X$ and I know it is smooth. I want to know if $X$ came from reducing mod p a variety over say $mathbbC$ or $mathbbQ$. I have seen a lot of literature about lifting this variety to say $mathbbQ_p$, and I also know as fields that $overlinemathbbQ_p cong mathbbC$. However, I do not really want to use this isomorphism, because I want to use some topological properties of $mathbbC$. Does anyone know conditions on $X$ for this to work?
algebraic-geometry
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
$endgroup$
add a comment |
$begingroup$
So I was thinking about this question earlier, and I could not find a good reference for it or think of a solution. Suppose I am given a variety over a finite field, $X$ and I know it is smooth. I want to know if $X$ came from reducing mod p a variety over say $mathbbC$ or $mathbbQ$. I have seen a lot of literature about lifting this variety to say $mathbbQ_p$, and I also know as fields that $overlinemathbbQ_p cong mathbbC$. However, I do not really want to use this isomorphism, because I want to use some topological properties of $mathbbC$. Does anyone know conditions on $X$ for this to work?
algebraic-geometry
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
$endgroup$
add a comment |
$begingroup$
So I was thinking about this question earlier, and I could not find a good reference for it or think of a solution. Suppose I am given a variety over a finite field, $X$ and I know it is smooth. I want to know if $X$ came from reducing mod p a variety over say $mathbbC$ or $mathbbQ$. I have seen a lot of literature about lifting this variety to say $mathbbQ_p$, and I also know as fields that $overlinemathbbQ_p cong mathbbC$. However, I do not really want to use this isomorphism, because I want to use some topological properties of $mathbbC$. Does anyone know conditions on $X$ for this to work?
algebraic-geometry
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
$endgroup$
So I was thinking about this question earlier, and I could not find a good reference for it or think of a solution. Suppose I am given a variety over a finite field, $X$ and I know it is smooth. I want to know if $X$ came from reducing mod p a variety over say $mathbbC$ or $mathbbQ$. I have seen a lot of literature about lifting this variety to say $mathbbQ_p$, and I also know as fields that $overlinemathbbQ_p cong mathbbC$. However, I do not really want to use this isomorphism, because I want to use some topological properties of $mathbbC$. Does anyone know conditions on $X$ for this to work?
algebraic-geometry
algebraic-geometry
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
asked Mar 15 at 1:29
Sheel StueberSheel Stueber
691210
691210
add a comment |
add a comment |
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