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Results tagged with birational-geometry
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user 16751
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.
4
votes
Quotients of rational surfaces
Just to round out the picture: if the characteristic of $k$ is positive and $G$ is a finite, but non-reduced group scheme (for example, the infinitesimal group scheme $\mu_p$ of $p$.the roots of unity …
- 1,279
12
votes
When does $\operatorname{Aut}(X)=\operatorname{Bir}(X)$ hold?
It also holds for minimal surfaces of Kodaira dimension $\kappa\geq0$.
- 1,279