Add to ORKGAbstract. In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau manifolds. Content
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers publis...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...
We give geometric explanations and proofs of various mirror symmetry conjectures for T^n-invariant ...
We prove that if two Calabi-Yau invertible pencils have the same dual weights, then they share a com...
We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields ...
We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields ...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror sy...
We prove Mirror Conjecture for Calabi-Yau manifolds equipped with holomorphic symplectic form, also ...
We carry out the SYZ program for the local Calabi–Yau manifolds of type A˜ by developing an equivari...
The central theme of this thesis is the application of mirror symmetry to the study of the arithmeti...
Mirror symmetry is a correspondence between symplectic and complex geometry developed to understand ...
Mirror symmetry conjecture identi\u85es the complex geometry of a Calabi-Yau manifold with the sympl...
The central theme of this thesis is the application of mirror symmetry to the study of the arithmeti...
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers publis...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...
We give geometric explanations and proofs of various mirror symmetry conjectures for T^n-invariant ...
We prove that if two Calabi-Yau invertible pencils have the same dual weights, then they share a com...
We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields ...
We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields ...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror sy...
We prove Mirror Conjecture for Calabi-Yau manifolds equipped with holomorphic symplectic form, also ...
We carry out the SYZ program for the local Calabi–Yau manifolds of type A˜ by developing an equivari...
The central theme of this thesis is the application of mirror symmetry to the study of the arithmeti...
Mirror symmetry is a correspondence between symplectic and complex geometry developed to understand ...
Mirror symmetry conjecture identi\u85es the complex geometry of a Calabi-Yau manifold with the sympl...
The central theme of this thesis is the application of mirror symmetry to the study of the arithmeti...
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers publis...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...
We give geometric explanations and proofs of various mirror symmetry conjectures for T^n-invariant ...
