Timeline for Looking for examples of not injective maps and not surjective maps of the form $ A_{k} (X) \to H_{2k} ( X , \mathbb{Z} ) $
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2020 at 20:51 | comment | added | YoYo | Thank you Qfwfq and dhy. It's clear now. :-) | |
| Feb 3, 2020 at 20:26 | comment | added | dhy | For obstructions to infectivity, look up the generalized Bloch conjecture. For obstructions to surjectivity @Qfwfq's comment should be the only rational obstruction; there are other failures of surjectivity known (look up papers giving counterexamples to the integral Hodge conjecture). At the end of the day, assuming Hodge and generalized Bloch, there is a complete characterization of when injectivity/surjectivity fails rationally. | |
| S Feb 3, 2020 at 18:54 | history | suggested | RobPratt | CC BY-SA 4.0 |
corrected spelling in title
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| Feb 3, 2020 at 17:54 | review | Suggested edits | |||
| S Feb 3, 2020 at 18:54 | |||||
| Feb 3, 2020 at 17:37 | vote | accept | YoYo | ||
| Feb 3, 2020 at 16:20 | answer | added | Yusuf Mustopa | timeline score: 6 | |
| Feb 3, 2020 at 15:44 | comment | added | Qfwfq | Well, the image of the cycle class map has to be contained in $H^{(k,k)}(X,\mathbb{Z}). | |
| Feb 3, 2020 at 15:26 | history | edited | YoYo | CC BY-SA 4.0 |
deleted 7 characters in body
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| Feb 3, 2020 at 14:24 | history | edited | YoYo | CC BY-SA 4.0 |
added 11 characters in body
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| Feb 3, 2020 at 14:12 | history | asked | YoYo | CC BY-SA 4.0 |