Timeline for Question about automorphism functor in Sernesi's "Deformations of algebraic schemes"
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 1, 2020 at 20:27 | vote | accept | user | ||
| Jul 1, 2020 at 10:36 | answer | added | Piotr Achinger | timeline score: 5 | |
| Jul 1, 2020 at 8:21 | comment | added | Francesco Polizzi | In my mind, geometrically, in the case of complex projective varieties this corresponds to a morphism of schemes $\mathrm{Spec}(k[\varepsilon]) \longrightarrow \mathrm{Def}(X)$, where $\mathrm{Def}(X)$ is (the germ of) the Kuranishi family of $X$. | |
| Jul 1, 2020 at 8:16 | comment | added | Aurelio | It appear that the same problem would occur at the beginning of the proof, when Sernesi shows that $\mathrm{Aut}_u$ satisfies condition $H_0$ (as in pag45), that is $\mathrm{Aut}_u(k)$ is the identity. | |
| Jul 1, 2020 at 8:13 | comment | added | Francesco Polizzi | It seems to me that a $k$-algebra homomorphism $R \longrightarrow k[\varepsilon]$ exist by semi-universality, or am I missing something? | |
| Jul 1, 2020 at 6:35 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Jul 1, 2020 at 6:20 | history | edited | user | CC BY-SA 4.0 |
added 267 characters in body; edited title
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| Jul 1, 2020 at 1:55 | history | asked | user | CC BY-SA 4.0 |