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19 votes
2 answers
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The canonical line bundle of a normal variety

I have heard that the canonical divisor can be defined on a normal variety X since the smooth locus has codimension 2. Then, I have heard as well that for ANY algebraic variety such that the canonical ...
Jesus Martinez Garcia's user avatar
13 votes
1 answer
1k views

Today's world record on the Betti numbers of Calabi-Yau three-folds.

What are largest betti numbers $b_2$ and $b_3$ of three-dimensional Calabi-Yau manifolds that are discovered for today? Is there some nice reference?
aglearner's user avatar
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