Timeline for Polynomial count varieties and affine paving (e.g., determinantal varieties)
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| May 31, 2022 at 12:19 | comment | added | Piotr Achinger | How about a fake projective plane, i.e. a surface of general type with the same Hodge diamond as $\mathbf{P}^2$? Then the number of points over $\mathbf{F}_q$ (for $q$ large at least) should be $1+q+q^2$. Yet, such a variety is not rational and should not satisfy your condition. | |
| May 30, 2022 at 7:37 | comment | added | PrimeRibeyeDeal | I recall this polynomial count condition being a sign that the variety "descends to $\mathbb{F}_1$", but I don't remember whence. | |
| May 29, 2022 at 17:22 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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| May 29, 2022 at 17:16 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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| May 29, 2022 at 17:16 | comment | added | fool rabbit | @Sam Hopkins Thank you very much 😀 | |
| May 29, 2022 at 17:09 | comment | added | Sam Hopkins | I broke it into paragraphs in a way that seemed coherent to me (and did some other light editing for grammar/style). Apologies if I messed anything up. | |
| May 29, 2022 at 17:09 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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| May 29, 2022 at 17:01 | comment | added | fool rabbit | I do not know how to break the paragraph in this system, may some one can help me ? | |
| May 29, 2022 at 17:00 | history | edited | fool rabbit | CC BY-SA 4.0 |
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| May 29, 2022 at 16:58 | comment | added | fool rabbit | Sorry, I'm in a hurry, because all my roommates have been sleeping. QWQ | |
| May 29, 2022 at 16:55 | history | edited | fool rabbit | CC BY-SA 4.0 |
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| May 29, 2022 at 16:55 | comment | added | Sam Hopkins | This is a potentially interesting question but I think the text would be improved by having some paragraph breaks. | |
| May 29, 2022 at 16:50 | history | asked | fool rabbit | CC BY-SA 4.0 |