Timeline for Exponential map of moduli space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 5, 2020 at 15:03 | comment | added | Ben Wieland | One class of varieties that has a canonical metric is hermitian locally symmetric spaces, roughly the same as Shimura varieties, such as the moduli of pp abelian varieties. Analogous to the exponential map is an arithmetic phenomenon, the Serre-Tate coordinates, which identify the formal neighborhood of a point with its tangent space. | |
| Jul 30, 2020 at 16:33 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title, formatting
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| Jul 30, 2020 at 16:33 | history | edited | curious math guy | CC BY-SA 4.0 |
added 163 characters in body
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| Jul 30, 2020 at 16:30 | comment | added | Will Sawin | You need to pick a basis for the projective space (modulo unitary transformations) to get a metric. | |
| Jul 30, 2020 at 16:30 | history | edited | curious math guy | CC BY-SA 4.0 |
added 42 characters in body
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| Jul 30, 2020 at 16:29 | comment | added | curious math guy | Ah, right. If I assume thought that $\mathcal{M}$ is projective, then it should inhert the metric from the projective space, no? | |
| Jul 30, 2020 at 16:27 | comment | added | abx | You must specify what metric you put on your $\mathcal{M}$. | |
| Jul 30, 2020 at 16:25 | history | edited | curious math guy | CC BY-SA 4.0 |
forgot an essential assumption!
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| Jul 30, 2020 at 16:16 | history | edited | curious math guy | CC BY-SA 4.0 |
added 27 characters in body
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| Jul 30, 2020 at 16:08 | history | asked | curious math guy | CC BY-SA 4.0 |