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When does a discrepant toric resolution induce a crepant resolution of a subvariety?

If the subvariety $Y$ is transversal to all the strata, which is the case, for example, for generic complete intersections of base point free linear systems, then it is easy. The restriction of the r …
Lev Borisov's user avatar
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5 votes
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Finite Quotients and Resolutions of Singularities

I suspect that you will have trouble with trying to "simultaneously" resolve $X$ and $X/G$. We actually run into this issue in the joint paper with Anatoly Libgober arXiv:math/0206241 (although it may …
Lev Borisov's user avatar
  • 5,186
7 votes

Resolving nodes of a quintic CY 3-fold

I assume that you mean $x_1=x_2=0$ in your description of the divisors. I believe that you only really get two different resolutions, but yes, they are both projective varieties. Hodge numbers of bira …
Lev Borisov's user avatar
  • 5,186