activity
19982005
most citedFiniteness of volume of moduli spaces

23 citations · 34 across the 12 of their papers we have counts for

collaborators

16 papers

math.DG20051 cited

Weil-Petersson geometry on moduli space of polarized Calabi-Yau manifolds

Zhiqin Lu, Xiaofeng Sun

In this paper, we define and study the Weil-Petersson geometry. Under the framework of the Weil-Petersson geometry, we study the Weil-Petersson metric and the Hodge metric. Among t…

hep-th200523 cited

Finiteness of volume of moduli spaces

Michael R. Douglas, Zhiqin Lu

We give a ``physics proof'' of a conjecture made by the first author at Strings 2005, that the moduli spaces of certain conformal field theories are finite volume in the Zamolodchi…

math.DG20051 cited

On the Weil-Petersson Geometry of Calabi-Yau Moduli

Zhiqin Lu, Eisuke Natsukawa

In this paper we proved that the Weil-Petersson volume of the Chern class of any order over the moduli space of Calabi-Yau manifolds is a rational number. We also found the necessa…

math.DG2005

The log term of Szego Kernel

Zhiqin Lu, Gang Tian

In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kählermanifo…

math.DG2005

On the Curvature Tensor of the Hodge Metric of Moduli Space of Polarized Calabi-Yau Threefolds

Zhiqin Lu

In this paper, we give an expression and some estimates of the curvature tensor of the Hodge metric over the moduli space of a polarized Calabi-Yau threefold. The symmetricity of t…

math.DG20051 cited

A note on the holomorphic invariants of Tian-Zhu

Zhiqin Lu

In this paper, we compute the Tian-Zhu invariant on hypersurfaces of complex projective spaces.