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Completed the LaTeX-isation done by the previous user
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Yemon Choi
Yemon Choi
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Let $X=Spec\ A$$X={\rm Spec} A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ is a prime Weil-divisor on $X$.

Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective (or proper) morphism .

Since we don't have the Resolution of Singularities in characteristic $p>0$, I don't really know a good (or standard) way of doing this in higher dimension ($n>3$).

Any help will be greatly appreciated.

Let $X=Spec\ A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ is a prime Weil-divisor on $X$.

Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective (or proper) morphism .

Since we don't have the Resolution of Singularities in characteristic $p>0$, I don't really know a good (or standard) way of doing this in higher dimension ($n>3$).

Any help will be greatly appreciated.

Let $X={\rm Spec} A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ is a prime Weil-divisor on $X$.

Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective (or proper) morphism .

Since we don't have the Resolution of Singularities in characteristic $p>0$, I don't really know a good (or standard) way of doing this in higher dimension ($n>3$).

Any help will be greatly appreciated.

Minor edits.
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edit approved May 29, 2016 at 13:53
Sean Lawton
edit approved May 29, 2016 at 13:53
Sean Lawton
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How to Construct a ''Nice'' Birational Model in Characteristic p>0$p>0$?

Let $X=Spec\ A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ beis a prime Weil-divisor on $X$. 

Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective morphism ( oror proper  ) morphism .

Since we don't have the Resolution of Singularities in characteristic $p>0$, so I don't really know a good (or standard) way of doing this in higher dimension (n>3$n>3$).

Any help will be greatly appreciated.

How to Construct a ''Nice'' Birational Model in Characteristic p>0

Let $X=Spec\ A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ be a prime Weil-divisor on $X$. Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective morphism ( or proper  ).

Since we don't have the Resolution of Singularities in characteristic $p>0$, so I don't really know a good (or standard) way of doing this in higher dimension (n>3).

Any help will be greatly appreciated.

How to Construct a ''Nice'' Birational Model in Characteristic $p>0$?

Let $X=Spec\ A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ is a prime Weil-divisor on $X$. 

Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective (or proper) morphism .

Since we don't have the Resolution of Singularities in characteristic $p>0$, I don't really know a good (or standard) way of doing this in higher dimension ($n>3$).

Any help will be greatly appreciated.

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Omprokash
Omprokash
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How to Construct a ''Nice'' Birational Model in Characteristic p>0

Let $X=Spec\ A$ be a normal affine variety of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$. Also, assume that $S\subset X$ be a prime Weil-divisor on $X$. Now, I need to construct a birational model $g:Y\to X$ such that $Y$ and the birational transform $S'$ of $S$ are both normal and $g$ is a projective morphism ( or proper ).

Since we don't have the Resolution of Singularities in characteristic $p>0$, so I don't really know a good (or standard) way of doing this in higher dimension (n>3).

Any help will be greatly appreciated.