fermat variety
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Small codimension components of the Hodge locus containing the Fermat variety

Communications in Contemporary Mathematics ◽

10.1142/s021919972150053x ◽

2021 ◽

Author(s):

Roberto Villaflor Loyola

Keyword(s):

Fermat Variety ◽

Small Codimension

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REFINED MOTIVIC DIMENSION OF SOME FERMAT VARIETIES

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972715001379 ◽

2015 ◽

Vol 93 (2) ◽

pp. 223-230 ◽

Cited By ~ 1

Author(s):

SU-JEONG KANG

Keyword(s):

Elementary Proof ◽

Hodge Conjecture ◽

Fermat Variety ◽

Tohoku Math

Using the inductive structure of a Fermat variety by Shioda and Katsura [‘On Fermat varieties’, Tohoku Math. J. (2) 31(1) (1979), 97–115], we estimate the refined motivic dimension of certain Fermat varieties. As an application of our computation, we present an elementary proof of the generalised Hodge conjecture for those varieties.