Timeline for Hilbert-Kunz multiplicity of Cohen-Macaulay local domains
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 21, 2023 at 17:00 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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| Jul 17, 2011 at 15:19 | history | edited | Hailong Dao | CC BY-SA 3.0 |
added 429 characters in body; added 4 characters in body
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| Jul 16, 2011 at 11:50 | comment | added | paul Monsky | As Dao says, very little is known about the H.K multiplicity, mu, of R, even when R is the quotient of a power series ring in s variables by a homogeneous polynomial g of degree d. When s=3, there's a beautiful theory due to Brenner and to Trivedi--for example when d=4 and g is absolutely irreducible, mu can only be 3, 3+1/q^2, or 3+1/4q^2 where q is a power of the characteristic. But when s>3 one has theory only for special cases. (See Teixeira). And there's convincing (to me) evidence that mu can be irrational (for s>4) and even transcendental. | |
| Jul 16, 2011 at 6:14 | vote | accept | Mahdi Majidi-Zolbanin | ||
| Jul 16, 2011 at 5:26 | history | answered | Hailong Dao | CC BY-SA 3.0 |