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Refined Motivic Dimension

Published online by Cambridge University Press:  20 November 2018

Su-Jeong Kang
Su-Jeong Kang*
Affiliation:
Department of Mathematics and Computer Science, Providence College, Providence, RI 02918, USA e-mail: [email protected]
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Abstract

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We define a refined motivic dimension for an algebraic variety by modifying the definition of motivic dimension by Arapura. We apply this to check and recheck the generalized Hodge conjecture for certain varieties, such as uniruled, rationally connected varieties and a rational surface fibration.

Keywords

14C3014C25motivic dimensiongeneralized Hodge conjecture
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 3 , 01 September 2015 , pp. 519 - 529
Copyright
Copyright © Canadian Mathematical Society 2015

References

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