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Results tagged with birational-geometry
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user 132003
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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A birational morphism of a finite cover to itself
Let $X$ and $Y$ be normal projective varieties.
Let $\pi:X\to Y$ be a finite surjective morphism and $\tau:X\to Y$ a birational morphism.
Question: will $\tau$ be isomorphic? or any counter-example?
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Is the boundary divisor of a smooth projective toric variety an snc divisor?
Let $X$ be a smooth toric projective variety.
Let $T$ be the big torus acting on $X$.
Let $D=X\backslash T$ be the boundary divisor.
Question 1. Will $D_i$ be a smooth toric projective variety for ea …
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