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Results tagged with birational-geometry
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user 2083
Birational geometry is a field of algebraic geometry the goal of which is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.
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Accepted
Blowups of Cohen-Macaulay varieties
An example was given in Section 3 of this paper by Cutkosky: "A new characterization of rational surface singularities." (The scheme $Z$ in the last page, which is a blow up of some $m$-primary ideal …
- 30.6k
7
votes
1
answer
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How to construct log-canonical (or Calabi-Yau), non-Cohen-Macaulay singularities of low cod...
(EDIT 07/06/11: although the question has not been settled definitely, Sándor's excellent answer and the comments by Angelo and ulrich have highlighted many potential obstructions to the constructions …
- 30.6k