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Results tagged with birational-geometry
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user 14037
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.
3
votes
Accepted
Demailly Campana Peternell Conjecture for isolated singularities
This is related to Mori's theorem through
Grauert's ampleness criterion in
Hartshorne's "Ample vector bundles" (Proposition 3.5).
Let's assume that $M$ is projective and $\dim M \ge 2$.
Let $\alpha : …
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