The $${\overline{\partial}}$$-equation on homogeneous varieties with an isolated singularity |
| |
Authors: | J Ruppenthal |
| |
Institution: | 1.Department of Mathematics,University of Wuppertal,Wuppertal,Germany |
| |
Abstract: | Let X be a regular irreducible variety in , Y the associated homogeneous variety in , and N the restriction of the universal bundle of to X. In the present paper, we compute the obstructions to solving the -equation in the L
p
-sense on Y for 1 ≤ p ≤ ∞ in terms of cohomology groups . That allows to identify obstructions explicitly if X is specified more precisely, for example if it is equivalent to or an elliptic curve.
|
| |
Keywords: | Cauchy– Riemann equations Singular spaces L p -estimates |
本文献已被 SpringerLink 等数据库收录! |
|