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Results tagged with singularity-theory
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user 37338
Singularities in algebraic/complex/differential geometry and analysis of ODEs/PDEs. Singular spaces, vector fields, etc.
0
votes
0
answers
267
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Birational contraction to a $\mathbb{Q}$-Gorenstein Variety
Given a birational contraction morphism $X\rightarrow Y$
of complex normal algebraic varieties.
If $Y$ is a smooth variety, what kind of singularities can appear
on $X$?
I would be grateful of any …
- 1,585
3
votes
Accepted
Does the quotient of a variety with log terminal singularities also have log terminal singul...
Now I can give you a definite answer. In general, the quotient of a klt singularity by a reductive group is not klt, because for instance, the canonical divisor of the quotient may not be $\mathbb{Q}$ …
- 1,585
0
votes
2
answers
294
views
Hochster-Roberts Theorem reciprocal
Given a Cohen-Macaulay ring $R$ over a field of characteristic zero and $G$
a reductive algebraic group acting on $R$, then the ring of ivanriants $R^G$
is also Cohen-Macaulay. This is known as Hochst …
- 1,585
1
vote
0
answers
73
views
Simple question about surface singularities
Given $\epsilon \in (0,1)$, is it possible to find two finite familes $\mathcal{F}$ and $\mathcal{P}$ of weighted graphs, such that the weighted graph of the minimum resolution of any $\epsilon$-klt s …
- 1,585