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Singularities in algebraic/complex/differential geometry and analysis of ODEs/PDEs. Singular spaces, vector fields, etc.
3
votes
1
answer
187
views
snc singularity is an open condition?
If $π : X → S$ is a family of complex projective
varieties, such that $X_0 := π^{−1}(0)$ has simple normal singularities in $X$, then all the general fibers $X_t$ have snc singularities at worst?
3
votes
1
answer
714
views
semi-log canonial singularities is an open condition?
Let $f:X\to \mathbb \Delta$ be family of projective varities which fibers are smooth, we know central fiber can be singular and may not be mild. Kollar introduced semi-log-canonical singularities to g …