middle convolution
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2019 ◽  
Vol 294 (3-4) ◽  
pp. 1787-1839
Author(s):  
Yoshishige Haraoka
Keyword(s):  

2018 ◽  
Vol 54 (2) ◽  
pp. 427-431
Author(s):  
Michael Dettweiler ◽  
Claude Sabbah

2017 ◽  
Vol 13 (03) ◽  
pp. 52-67
Author(s):  
M. Nobert Hounkonnou ◽  
Kassim, A.M

2016 ◽  
Vol 68 (2) ◽  
pp. 280-308 ◽  
Author(s):  
Genival da Silva ◽  
Matt Kerr ◽  
Gregory Pearlstein

AbstractWe collect evidence in support of a conjecture of Griffiths, Green, and Kerr on the arithmetic of extension classes of limiting mixed Hodge structures arising from semistable degenerations over a number field. After briefly summarizing how a result of Iritani implies this conjecture for a collection of hypergeometric Calabi–Yau threefold examples studied by Doran and Morgan, the authors investigate a sequence of (non-hypergeometric) examples in dimensions 1 ≤ d ≤ 6 arising from Katz's theory of the middle convolution. A crucial role is played by the Mumford-Tate group (which is G2) of the family of 6-folds, and the theory of boundary components of Mumford–Tate domains.


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