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Results tagged with divisors
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user 16751
For questions related to divisors in the sense of algebraic geometry (Cartier divisors, Weil divisors and so on). For question on divisors in the number theoretic sense please use the tag divisors-multiples.
10
votes
Generalisations of Riemann-Roch for surfaces
surfaces a remark on what assumptions are needed to set up an intersection theory on algebraic surfaces: you should always get a reasonable theory if $X$ is Cohen-Macaulay, and if you intersect Cartier divisors …
- 1,279
10
votes
Divisorial contraction: when is the image an algebraic space or a stack?
In order to have a contraction morphism $X\to Y$, the intersection matrix must be negative definite.
Conversely, if the intersection matrix is negative definite, the contraction morphism exists in th …
- 1,279