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Rationality of Cycles Over Function Field of Exceptional Projective Homogeneous Varieties


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1 UPMC Sorbonne Universites, Institut de Mathematiques de Jussieu, Paris, France
     

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In this article we prove a result comparing rationality of algebraic cycles over the function field of a projective homogeneous variety under a linear algebraic group of type F4 or E8 and over the base field, which can be of any characteristic.
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  • Rationality of Cycles Over Function Field of Exceptional Projective Homogeneous Varieties

Abstract Views: 169  |  PDF Views: 0

Authors

Raphael Fino
UPMC Sorbonne Universites, Institut de Mathematiques de Jussieu, Paris, France

Abstract


In this article we prove a result comparing rationality of algebraic cycles over the function field of a projective homogeneous variety under a linear algebraic group of type F4 or E8 and over the base field, which can be of any characteristic.