Timeline for Are the arithmetic genera of Cohen-Macaulay curves in a fixed homology class bounded?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| May 7, 2010 at 18:37 | comment | added | Angelo | The component of the Hilbert scheme is determined by degree and genus; infinitely many genera means infinitely many components. | |
| May 7, 2010 at 17:50 | comment | added | David Steinberg | Why isn't this enough to prove boundedness? The class beta (i think) is enough to fix the dimension of H^0, and an upper bound on genus fixes H^1, so they curves live in a finite number of Hilbert schemes. | |
| May 6, 2010 at 15:07 | comment | added | Angelo | I strongly believe that there should be an upper bound for Cohen-Macaulay (notice that reduced curves are automatically Cohen-Macaulay). Of course for proving boundedness this is not good enough, but if the OP cares I might try to write up a proof. | |
| May 6, 2010 at 14:42 | history | edited | damiano | CC BY-SA 2.5 |
added 669 characters in body
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| May 5, 2010 at 19:10 | comment | added | Angelo | Does this work for non-reduced curves? | |
| May 5, 2010 at 18:45 | history | answered | damiano | CC BY-SA 2.5 |