Timeline for A geometric characterization for arithmetic genus
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| S Jun 9, 2014 at 19:16 | history | suggested | evgeny | CC BY-SA 3.0 |
COdimension: the lowest term should be of X, and the greatest - degree - of its section by codimension=n subspace; other edits to allow such a tiny edit
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| Jun 9, 2014 at 19:14 | review | Suggested edits | |||
| S Jun 9, 2014 at 19:16 | |||||
| Dec 10, 2013 at 15:35 | history | edited | Charles Staats | CC BY-SA 3.0 |
added 118 characters in body
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| Mar 30, 2013 at 18:03 | history | edited | Charles Staats | CC BY-SA 3.0 |
added 419 characters in body
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| Mar 29, 2013 at 19:09 | answer | added | anonymous | timeline score: 8 | |
| May 2, 2012 at 19:06 | vote | accept | Charles Staats | ||
| Apr 1, 2012 at 14:29 | comment | added | Charles Staats | Another comment: I'm asking for a geometric characterization, not simply a geometric property or a method of computation in some cases (although these are, of course, good to know). For instance, I consider the last bullet point a very nice geometric characterization for the genus of a real closed 2-manifold, as opposed to e.g. a characterization in terms of Betti numbers, but I imagine that this is rarely, if ever, a good definition for computing the genus. | |
| Apr 1, 2012 at 12:25 | comment | added | Charles Staats | I consider that the (arithmetic) genus of $X$ already has at least two geometric characterizations when $X$ is a curve. I'm primarily interested in characterizations that work when $X$ is not a curve. | |
| Apr 1, 2012 at 12:11 | answer | added | Georges Elencwajg | timeline score: 35 | |
| Apr 1, 2012 at 10:52 | comment | added | Ariyan Javanpeykar | Just a comment which probably won't help you much, but if you have a curve and you are able to "compute" a finite morphism to $\mathbf{P}^1$, then you can determine the genus. "Computing" a finite morphism means determining its degree and ramification type. This is possible in some cases (for example modular curves) and gives you a (geometric?) characterization of the genus. | |
| Mar 31, 2012 at 20:21 | history | asked | Charles Staats | CC BY-SA 3.0 |