An effective Matsusaka big theorem
Yum-Tong Siu (1993)
Annales de l'institut Fourier
Similarity:
Displaying similar documents to “Eta invariants and complex immersions”
An effective Matsusaka big theorem
Instantons on cylindrical manifolds and stable bundles.
Owens, Brendan (2001)
Geometry & Topology
Similarity:
The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
Jean-Michel Bismut, E. Vasserot (1990)
Annales de l'institut Fourier
Similarity:
The purpose of this paper is to calculate the asymptotics of the Ray-Singer analytic torsion associated with the -th symmetric power of a holomorphic Hermitian positive vector bundle when tends to . We thus extend our previous results on positive line bundles.
Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space
Indranil Biswas (1997)
Annales de l'institut Fourier
Similarity:
The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.
Hartogs phenomena for Hermitian vector bundles
Harris, Adam
Similarity:
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjöstrand (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.