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rationalisin

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There are 12 letters in RATIONALISIN ( A1I1L1N1O1R1S1T1 )

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Rationalisin might refer to
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In mathematics, more particularly in the field of algebraic geometry, a scheme
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* {\displaystyle X}
* has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map
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* :
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* →
* X
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* {\displaystyle f\colon Y\rightarrow X}
* from a regular scheme
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* {\displaystyle Y}
* such that the higher direct images of
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* f
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* ∗
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* {\displaystyle f_{*}}
* applied to
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* O
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* Y
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* {\displaystyle {\mathcal {O}}_{Y}}
* are trivial. That is,
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* i
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* {\displaystyle R^{i}f_{*}{\mathcal {O}}_{Y}=0}
* for
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* i
* >
* 0
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* {\displaystyle i>0}
* .If there is one such resolution, then it follows that all resolutions share this property, since any two resolutions of singularities can be dominated by a third.
* For surfaces, rational singularities were defined by (Artin 1966).
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