Communications in Number Theory and Physics

Volume 13 (2019)

Number 1

On the arithmetic of Landau–Ginzburg model of a certain class of threefolds

Pages: 149 – 163



Genival Da Silva, Jr. (Department of Mathematics, Imperial College London, United Kingdom)


We prove that the Apéry constants for a certain class of Fano threefolds can be obtained as a special value of a higher normal function.


higher normal function, algebraic cycle, Landau–Ginzburg model, Apéry constant, toric threefold

The author acknowledges the travel support from NSF FRG Grant 1361147 and the support of CNPq program Science Without Borders.

Received 30 March 2016

Accepted 4 October 2018

Published 29 April 2019