Add to ORKGAbstract. A curvature formula for the Weil-Petersson metric on the Calabi-Yau moduli spaces is given. Its relations to the Hodge metrics and the Bryant-Griffiths cubic form are obtained in the threefold case. Asymptotic behavior of the curvature near the boundary of moduli is also discussed via the theory of variations of Hodge structures
We study the moduli space of polarized Calabi--Yau manifolds, especially degenerations of Calabi--Ya...
The classical Weil-Petersson metric on the Teichmüller space of compact Riemann surfaces is a Kähl...
We study the curvature of the moduli space M_g of curves of genus g with the Siegel metric induced b...
Abstract In this paper, we define and study the Weil–Petersson geometry. Under the framework of the ...
28 pages, 8 figuresInternational audienceWe introduce a simple and very fast algorithm that computes...
28 pages, 8 figuresInternational audienceWe introduce a simple and very fast algorithm that computes...
In 2011, A. Iliev and L. Manivel proposed the class of manifolds of Calabi-Yau type as a generalizat...
In 2011, A. Iliev and L. Manivel proposed the class of manifolds of Calabi-Yau type as a generalizat...
The Weil-Petersson metrics on the Riemann moduli spaces of complex structures for an $n$-fold punctu...
Abstract. We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge...
We derive the Weil-Petersson metric on the moduli space of Calabi-Yau manifolds from that of Zamolod...
We derive the Weil-Petersson metric on the moduli space of Calabi-Yau manifolds from that of Zamolod...
In this thesis, we study the geometry of Teichmuller space of punctured Riemann surfaces.We use L2 H...
Abstract. We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teich...
In this thesis, we study the geometry of the moduli space and the Teichmuller space of Calabi-Yau ma...
We study the moduli space of polarized Calabi--Yau manifolds, especially degenerations of Calabi--Ya...
The classical Weil-Petersson metric on the Teichmüller space of compact Riemann surfaces is a Kähl...
We study the curvature of the moduli space M_g of curves of genus g with the Siegel metric induced b...
Abstract In this paper, we define and study the Weil–Petersson geometry. Under the framework of the ...
28 pages, 8 figuresInternational audienceWe introduce a simple and very fast algorithm that computes...
28 pages, 8 figuresInternational audienceWe introduce a simple and very fast algorithm that computes...
In 2011, A. Iliev and L. Manivel proposed the class of manifolds of Calabi-Yau type as a generalizat...
In 2011, A. Iliev and L. Manivel proposed the class of manifolds of Calabi-Yau type as a generalizat...
The Weil-Petersson metrics on the Riemann moduli spaces of complex structures for an $n$-fold punctu...
Abstract. We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge...
We derive the Weil-Petersson metric on the moduli space of Calabi-Yau manifolds from that of Zamolod...
We derive the Weil-Petersson metric on the moduli space of Calabi-Yau manifolds from that of Zamolod...
In this thesis, we study the geometry of Teichmuller space of punctured Riemann surfaces.We use L2 H...
Abstract. We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teich...
In this thesis, we study the geometry of the moduli space and the Teichmuller space of Calabi-Yau ma...
We study the moduli space of polarized Calabi--Yau manifolds, especially degenerations of Calabi--Ya...
The classical Weil-Petersson metric on the Teichmüller space of compact Riemann surfaces is a Kähl...
We study the curvature of the moduli space M_g of curves of genus g with the Siegel metric induced b...