Why $-(K_X+D)$ is $f$-ample if $phi:(X, D)to Y$ is a small contraction?
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We assume that $f:Xto S$ is a projective morphism, and $phi:(X, D)to Y$ is a small contraction, i.e $phi$ is a birational contraction with codim Ex$(f)geq2$.
Then, is $-(K_X+D)$ $f$-ample ?
Please let me know.
algebraic-geometry birational-geometry
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We assume that $f:Xto S$ is a projective morphism, and $phi:(X, D)to Y$ is a small contraction, i.e $phi$ is a birational contraction with codim Ex$(f)geq2$.
Then, is $-(K_X+D)$ $f$-ample ?
Please let me know.
algebraic-geometry birational-geometry
3
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
We assume that $f:Xto S$ is a projective morphism, and $phi:(X, D)to Y$ is a small contraction, i.e $phi$ is a birational contraction with codim Ex$(f)geq2$.
Then, is $-(K_X+D)$ $f$-ample ?
Please let me know.
algebraic-geometry birational-geometry
We assume that $f:Xto S$ is a projective morphism, and $phi:(X, D)to Y$ is a small contraction, i.e $phi$ is a birational contraction with codim Ex$(f)geq2$.
Then, is $-(K_X+D)$ $f$-ample ?
Please let me know.
algebraic-geometry birational-geometry
edited Aug 25 at 1:08
Stefano
2,123730
2,123730
asked Aug 18 at 1:59
ag_taro
41
41
3
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25
add a comment |Â
3
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25
3
3
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25
add a comment |Â
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3
This question has some issues: confusion between $f$ and $phi$, the role of $S$, etc. But nevertheless the answer is no. If this question is coming from something you read, I suggest that you check the source carefully and come back and update your question if needed.
â Asal Beag Dubh
Aug 18 at 8:25