2001/01/21 by Fabio Podestà, Fabio Podesta', Podesta', Fabio +2
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #53C25 #53C55 #57S15 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Genetic Syndromes and Imprinting #Geometry and complex manifolds #math.DG #msc:53C25 #msc:53C55 #msc:57S15
paper · pdf · doi:10.48550/arxiv.math/0101173
43 pages; in this new version, a mistake has been corrected and hence the original classification of the Main Theorem has been slightly modified
openalex publication_date 2001/01/21 · arxiv created 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We deal with compact Kaehler manifolds M which are acted on by a semisimple compact Lie group G of isometries with codimension one regular orbits. We provide an explicit description of the standard blow-ups of such manifolds along complex singular orbits, in case b1(M) = 0 and the regular orbits are Levi nondegenerate. Up to very few exceptions, all the nonhomogeneous manifolds in this class are shown to admit a G-invariant Kaehler-Einstein metric, giving completely new examples of compact Kaehler-Einstein manifolds.