Geodesic
Refined Motivic Dimension
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 519-529

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DOI

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.
DOI : 10.4153/CMB-2015-018-4
Mots-clés : 14C30, 14C25, motivic dimension, generalized Hodge conjecture 
Kang, Su-Jeong. Refined Motivic Dimension. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 519-529. doi: 10.4153/CMB-2015-018-4
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     author = {Kang, Su-Jeong},
     title = {Refined {Motivic} {Dimension}},
     journal = {Canadian mathematical bulletin},
     pages = {519--529},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2015-018-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-018-4/}
}
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