| Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Mumbai, 400005, India;(2) Departamento de Algebra, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain |
| Abstract: | Let E be a semistable (or stable) principal bundle over a smooth complex projective variety X, and let D X be a complete intersection. We study the (semi)stability of the restriction E| D . Some of the results known for vector bundles, such as Grauert–Mülich, Flenner and Mehta–Ramanathan theorems, are generalized to principal bundles. Mathematics Subject Classification (2000): 14F05, 32L05The authors are members of VBAC (Vector Bundles on Algebraic Curves), which is partially supported by EAGER (EC FP5 Contract no. HPRN-CT-2000-00099) and by EDGE (EC FP5 Contract no. HPRN-CT-2000-00101). T.G. was supported by a postdoctoral fellowship of Ministerio de Educación y Cultura (Spain), and wants to thank the Tata Institute of Fundamental Research, where this work was done while he was a postdoctoral student. |
