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Results tagged with birational-geometry
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user 123448
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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Equivalent definitions of Kodaira dimension
The Kodaira($-$Iitaka) dimension of a line bundle $L$ on a complex manifold $X$ can be defined either in three ways:
The maximal dimension of the image of the rational maps $φ_{|mL|} : X \dashrighta …
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