☆ 4.4 Article

Rank-2 attractors and Deligne's conjecture

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Deligne's conjecture and mirror symmetry

Wenzhe Yang

Summary: This paper explores the connections between mirror symmetry of Calabi-Yau threefolds and Deligne's conjecture on the special values of the L-functions of critical motives, introducing a method to compute Deligne's period and validating it through examples. It also introduces Deligne's conjecture to the physics community, suggesting potential interesting connections between physics and number theory.

NUCLEAR PHYSICS B (2021)

添加到收藏夹

Article Physics, Particles & Fields

K3 mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic

Wenzhe Yang

Summary: This paper studies the connections between the mirror symmetry of K3 surfaces and the geometry of the Legendre family of elliptic curves, proving that the mirror map of the Dwork family is equal to the period map of the Legendre family. The relations between the arithmetic geometry of smooth fibers of the Fermat pencil and that of the smooth fibers of the Legendre family, as well as the verification of Deligne's conjecture on L-functions of critical motives, are also discussed.

NUCLEAR PHYSICS B (2021)

添加到收藏夹

Article Physics, Particles & Fields