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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?
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  • 135
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 …
Helen's user avatar
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