1. CJM Online first
||Finite determinacy and stability of flatness of analytic mappings|
It is proved that flatness of an analytic mapping germ from a
complete intersection is determined by its sufficiently high
jet. As a consequence, one obtains finite determinacy of complete
intersections. It is also shown that flatness and openness are
stable under deformations.
Keywords:finite determinacy, stability, flatness, openness, complete intersection
Categories:58K40, 58K25, 32S05, 58K20, 32S30, 32B99, 32C05, 13B40
2. CJM 2012 (vol 64 pp. 1222)
||Normality of Maximal Orbit Closures for Euclidean Quivers|
Let $\Delta$ be an Euclidean quiver. We prove that the closures of
the maximal orbits in the varieties of representations of $\Delta$
are normal and Cohen--Macaulay (even complete intersections).
Moreover, we give a generalization of this result for the tame
Keywords:normal variety, complete intersection, Euclidean quiver, concealed-canonical algebra