Timeline for Does a generically injective morphism of schemes have a section?
Current License: CC BY-SA 3.0
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| Apr 22, 2022 at 15:22 | comment | added | P. Grabowski | "A,B have the same field of fractions" is true over complex numbers, but it requires an additional explanation why is so since over a field of positive characteristic it is simply not true. Indeed, take a Frobenius morphism. What we can prove in general is that $f$ is an universal homeomorphism, by proving it is injective, what is equivalent to being finite, radicial, and surjective. Then, in char=0, radicial means birational, and we are done. | |
| Apr 3, 2017 at 9:16 | vote | accept | user45397 | ||
| Apr 3, 2017 at 0:13 | history | answered | pinaki | CC BY-SA 3.0 |