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

TL;DR

This paper demonstrates that Apery constants for a specific class of Fano threefolds can be expressed as special values of higher normal functions, linking algebraic geometry and number theory.

Contribution

It establishes a novel connection between Apery constants and higher normal functions for a class of Fano threefolds, advancing understanding in algebraic geometry.

Findings

Apery constants can be represented as special values of higher normal functions.

The work provides a new perspective on the arithmetic of Fano threefolds.

Links between geometric invariants and number-theoretic functions are elucidated.

Abstract

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