Timeline for Reference for notation $H^0(C, mK)$
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 27, 2013 at 15:47 | comment | added | Syed | Looking at Eischler Trace Formula in Breuer's thesis, I think you are certainly right. | |
| Feb 27, 2013 at 15:45 | vote | accept | Syed | ||
| Feb 13, 2013 at 16:31 | comment | added | Syed | So does it mean that the cochains cosist of these objects en.wikipedia.org/wiki/Vector-valued_differential_form? Is the cohomology the usual cohomology or is a cech cohomology? I'll look into his Magama code to see if this definition makes sense. | |
| Feb 11, 2013 at 16:04 | comment | added | Donu Arapura | It's almost certainly what Ruadhai suggests below. You can think of $H^0(C,mK)$ as sloppy way of writing $H^0(C,\mathcal{O}(mK))=H^0(C,\mathcal{O}(K)^{\otimes m})$. If you prefer to think in terms of divisors, then this is isomorphic to the space of meromorphic functions $f$ with $(f)+mK\ge 0$, where $K$ is a specified canonical divisor. | |
| Feb 11, 2013 at 12:10 | history | edited | S. Carnahan♦ | CC BY-SA 3.0 |
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| Feb 11, 2013 at 11:20 | answer | added | Ruadhaí Dervan | timeline score: 3 | |
| Feb 11, 2013 at 11:06 | history | asked | Syed | CC BY-SA 3.0 |