Calabi-Yau Manifolds Over Finite Fields, I by Candelas, P, Ossa, X, Rodriguez-Villegas, F

“…We study Calabi-Yau manifolds defined over finite fields. These manifolds have parameters, which now also take values in the field and we compute the number of rational points of the manifold as a function of the parameters. …”

Calabi-Yau Manifolds Over Finite Fields, II by Candelas, P, Ossa, X, Rodriguez-Villegas, F

Triadophilia: A Special Corner in the Landscape by Candelas, P, Ossa, X, He, Y, Szendroi, B

“…We draw attention to the fact that there appear to be very few Calabi--Yau manifolds with the Hodge numbers h^{11} and h^{21} both small. …”

Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory by Candelas, P, Ossa, X, Katz, S

“…It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers (b_{11},b_{21}) whose mirrors do not occur in the list. …”

Mirror Symmetry for Two Parameter Models -- I by Candelas, P, Ossa, X, Font, A, Katz, S, Morrison, DR

“…We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. …”