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Results tagged with resolution-of-singularities
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user 13139
5
votes
1
answer
1k
views
Hodge numbers of a Calabi-Yau 3-fold via deformation theory
In their paper "Calabi-Yau 3-folds and Moduli of Abelian Surfaces I", Gross and Popescu calculate the hodge numbers of smooth CY 3-folds obtained in the following way (see Remark 4.11 of their paper): …
- 2,108
2
votes
Crepant resolutions of ODP's on a 3-fold
Just for the sake of saving anyone else who needs this fact, we may local analytically assume that $X\cong \text{Spec }\mathbb C[x,y,z,w]/(f(x,y,z,w))$, where $E$ is defined by $x=z=0$ and $f=xP+zQ$ f …
- 2,108
5
votes
2
answers
685
views
Crepant resolutions of ODP's on a 3-fold
It seems to be a well-known fact that if we have a 3-fold $X$ with only ODP singularities (ordinary double point) and a smooth Weil divisor $E$ passing through them, then by blowing-up $X$ along $E$ w …
- 2,108