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Results tagged with birational-geometry
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user 23237
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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Geometrically unirational varieties that are not unirational
Rosenlicht found forms of $\mathbb{G}_a$ over a nonperfect field $k$ that have only finitely many points, hence are not unirational over $k$ (but, of course, become rational over the algebraic closure …
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