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Geometric structures invariant to symmetries
symmetric spaces geometric structures Cartan geometries parabolic geometries homogeneous spaces extension functors
2012/7/11
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Ca...
Some (non-)elimination results for curves in geometric structures
Some (non-)elimination results curves geometric structures
2010/11/17
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
Problems on geometric structures of projective embeddings
geometric structures projective embeddings
2010/10/29
This is a survey of our research on geometric structures of projective embeddings and includes some topics of our talks in several symposia during 1990-99. We clarify our main problem, which is to co...