Timeline for An algebraic vector bundle is trivialized by open sets. How many does one need?
Current License: CC BY-SA 3.0
14 events
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| S Feb 8, 2018 at 7:31 | history | suggested | jeq | CC BY-SA 3.0 |
Replaced double-backslash-comma with single-backslash-comma, to fix rendering.
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| Feb 8, 2018 at 6:58 | review | Suggested edits | |||
| S Feb 8, 2018 at 7:31 | |||||
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jan 14, 2011 at 3:08 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
added 1 characters in body
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| Dec 17, 2010 at 9:36 | comment | added | Sheikraisinrollbank | Periodically I'm curious about how it's doing. Good to know! | |
| Dec 17, 2010 at 6:09 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
deleted 50 characters in body
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| Dec 16, 2010 at 17:50 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
per Georges' request, expanded on the last remark to include a complete proof
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| Dec 16, 2010 at 17:34 | comment | added | Sándor Kovács | Sheikraisinrollbank: good point. And you also proved that Google Translate is only an approximation. Georges' quote was perfect, but yours is missing either a word or a conjugation. | |
| Dec 16, 2010 at 15:54 | comment | added | Sheikraisinrollbank | Sándor: A Google Translate bárki képes erre. Igazam van? | |
| Dec 16, 2010 at 10:20 | comment | added | Georges Elencwajg | Dear Sándor, thank you for the quasi-instantaneous answer. I am looking forward to the addition to your answer tomorrow (or earlier !) | |
| Dec 16, 2010 at 9:21 | comment | added | Sándor Kovács | Hi Georges, thanks. Actually bu "very very" I just meant "very", but I wanted to emphasize that they can be chosen as positive as one wants them to be. The proof is very simple. Choose and arbitrary ample divisor $A$. Then for large enough $r\gg 0$ it follows from the definition of ampleness that $L+rA$ is also ample and it can be made to be very ample with large enough $r$. Then $L=(L+rA)-rA$. I will add this to the answer tomorrow. Kudos for the perfect Hungarian! I am impressed with the correct inclusion of accents!! | |
| Dec 16, 2010 at 8:10 | comment | added | Georges Elencwajg | Dear Sándor, thank you very much for your answer. I really like your ingenious and elegant construction for claim 2. Since I am actually even more interested in your Remark (which is exactly the result I was hoping for), could you be so kind as to briefly elaborate on "very, very ample line bundles" or give a reference? Előre is köszönöm. | |
| Dec 16, 2010 at 4:43 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
added 78 characters in body
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| Dec 16, 2010 at 1:52 | history | answered | Sándor Kovács | CC BY-SA 2.5 |