2 papers
math.AG2012
Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling
Mao Sheng, Jinxing Xu, Kang Zuo
For each natural odd number , we exhibit a maximal family of -dimensional Calabi-Yau manifolds whose Yukawa coupling length is one. As a consequence, Shafarevich's conj…
math.AG2010
New Constructions of Complex Manifolds
Jinxing Xu
For a generic anti-canonical hypersurface in each smooth toric Fano 4-fold with rank 2 Picard group, we prove there exist three isolated rational curves in it. Moreover, for all th…