Timeline for Is forming the Albanese variety a monad?
Current License: CC BY-SA 3.0
5 events
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| Aug 11, 2016 at 15:13 | comment | added | Allen Knutson | That's a more familiar fact -- consider the adjoint action, mapping $G\to GL(\mathfrak{g})$. This has connected projective source and affine target, so must be constant. | |
| Aug 10, 2016 at 1:23 | comment | added | John Baez | A related surprisingly nice fact is that every connected projective algebraic group is automatically abelian! | |
| Aug 10, 2016 at 0:10 | comment | added | John Baez | Great! As Qiaochu pointed out in earlier comments, it's really crucial here that abelian varieties are connected projective algebraic abelian groups. Otherwise the forgetful functor from abelian varieties to pointed varieties would not be full. | |
| Aug 10, 2016 at 0:06 | history | edited | John Baez | CC BY-SA 3.0 |
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| Aug 9, 2016 at 18:49 | history | answered | Dmitry Vaintrob | CC BY-SA 3.0 |