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Results tagged with birational-geometry
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user 45836
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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birational invariants of projective surfaces
I am studying Castelnuovo's rationality criterion for surfaces.
Let $S$ be a projective surface and $K$ a canonical divisor on $S$.
Let's use the notation $h^i(S,\mathcal{O}_S)=dimH^i(S,\mathcal{O}_S …
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