Timeline for Interesting results in algebraic geometry accessible to 3rd year undergraduates
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Dec 12, 2023 at 2:02 | comment | added | David Feldman | No, a cubic surface need not be singular at an Eckardt point. Look here for example: blogs.ams.org/visualinsight/2016/02/15/… A double line would make the surface singular though. | |
| Dec 11, 2023 at 5:15 | history | edited | David Feldman | CC BY-SA 4.0 |
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| Dec 11, 2023 at 5:08 | history | edited | David Feldman | CC BY-SA 4.0 |
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| Nov 26, 2016 at 12:12 | comment | added | Andrea Ferretti | Yes, but the point is singular then | |
| Nov 26, 2016 at 9:52 | comment | added | Daniel Loughran | Unfortunately you proof is not correct. Three lines on a cubic surface can indeed meet in one point; this is a so-called "Eckardt point". | |
| Nov 27, 2010 at 4:49 | comment | added | roy smith | the existence of a line argument is in Shafarevich, Basic algebraic geometry chapter one, and the discriminant quintic argument is detailed in Beauville's Complex algebraic surfaces, both in English. But I welcome the translation of the other notes as well. | |
| Apr 4, 2010 at 13:35 | comment | added | Andrea Ferretti | Glielo suggerirò volentieri la prossima volta che lo incontro! | |
| Apr 4, 2010 at 12:54 | comment | added | Georges Elencwajg | Sono interessanti e ben scritti questi appunti di Manetti. Se conosce questo Professore, forse pottrebbe suggerirgli di tradurli in inglese e di pubblicarli. Comprerei volentieri un tal libro! | |
| Apr 3, 2010 at 20:56 | history | edited | Andrea Ferretti | CC BY-SA 2.5 |
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| Apr 3, 2010 at 20:47 | comment | added | Andrea Ferretti | If you actually choose this topic, you may want the details of the computations I have skipped (although you can find them yourself). The only reference I know on this proof is the book "Geometria algebrica" by Marco Manetti, which you can find here: mat.uniroma1.it/people/manetti/dispense/dispense.html Unfortunately it is in italian, but the few parts you need should be understandable. You find the proof on page 221. | |
| Apr 3, 2010 at 20:26 | history | answered | Andrea Ferretti | CC BY-SA 2.5 |