Timeline for Non-linear Galois descent
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 31, 2019 at 15:52 | comment | added | S. Carnahan♦ | Are you looking for sets ... with $k$-action? Those are basically $k$-vector spaces. | |
| Oct 30, 2019 at 11:31 | comment | added | user108998 | @Denis Nardin, thanks, I was pretty confident I was missing some hypotheses! | |
| Oct 30, 2019 at 10:40 | comment | added | Jakob Werner | I should say that schemes (or algebraic spaces) are not what I am after. I understand how one can argue that they are not linear objects, but in the hierarchy of mathematical objects they are based on affine schemes, which are algebras, which are based on vector spaces. I am looking for something that comes before vector spaces in the complexity hierarchy of mathematical objects – like sets. | |
| Oct 30, 2019 at 10:35 | comment | added | Denis Nardin | @EBz Minor correction: you need algebraic spaces, not schemes for descent to work (or else to restrict yourself to, say, quasi-projective schemes). | |
| Oct 30, 2019 at 10:32 | history | edited | Jakob Werner | CC BY-SA 4.0 |
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| Oct 29, 2019 at 16:20 | comment | added | user108998 | I'm by no means an expert but I would say this is absolutely not a linear-specific phenomenon. Schemes X (let's say of finite type but I'm not sure of the exact most general context here) over K plus a Gal equivariance (ie isoms X--->^{\sigma}X for all \sigma in Gal) are the same as schemes over k. Does this count as non-linear? I would say it does. For a pretty vast generalization look up faithfully flat descent. | |
| Oct 29, 2019 at 16:02 | history | edited | Jakob Werner | CC BY-SA 4.0 |
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| Oct 29, 2019 at 15:30 | history | edited | Jakob Werner | CC BY-SA 4.0 |
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| Oct 29, 2019 at 13:53 | history | edited | Jakob Werner | CC BY-SA 4.0 |
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| Oct 29, 2019 at 13:41 | history | asked | Jakob Werner | CC BY-SA 4.0 |