Skip to main content

Timeline for Klein's curve (algebraic geometry)

Current License: CC BY-SA 3.0

11 events
when toggle format what by license comment
Oct 17, 2016 at 5:02 comment added Emma Previato GOT IT! It's in David Eisenbud's Green's Conjecture: An Orientation (1991). The structure of the canonical ring of curves is known for genus less that or equal to 8 (at that time...) and also for smooth plane curves of any genus, so... it's overkill! John Mangual: You may be happy to see the abstract "tries to explain the attractiveness of canonical rings"... but the article is a little technical. Listen everybody, I had such a great experience here, it was my first time daring to post on MO and I enjoyed hearing back and learning the things that you found beautiful, thank you!
Oct 12, 2016 at 4:13 comment added Emma Previato YES! thank you folks (really lots of interesting info), what I meant if "a la Green's conjecture" (I had notes 100 years ago but I can't find them; however, not about this specific curve; I vaguely recall there were remarks about a rank-2 bundle over the curve, must have been an extension of K_X). I wanted to know this ring as precisely as possible, to construct explicit bases of H^0(nK_X) (yep, I should have used additive notation to go with the word "divisor"); a related issue are of course higher Weierstrass points.
Oct 10, 2016 at 15:10 comment added john mangual your question is tautological
Oct 10, 2016 at 14:56 comment added Donu Arapura I added the AG tag. I hope that's OK.
Oct 10, 2016 at 14:55 history edited Donu Arapura
I added the AG tag
Oct 10, 2016 at 13:41 answer added David E Speyer timeline score: 11
Oct 10, 2016 at 6:23 comment added Dan Petersen What kind of answer are you looking for? The syzygies in the minimal free resolution of the canonical ring, a la Green's conjecture?
Oct 10, 2016 at 4:11 answer added john mangual timeline score: -6
Oct 10, 2016 at 3:13 answer added T. Amdeberhan timeline score: 2
Oct 10, 2016 at 2:52 review First posts
Oct 10, 2016 at 3:04
Oct 10, 2016 at 2:51 history asked Emma Previato CC BY-SA 3.0