Timeline for References for complex analytic geometry?
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Mar 1, 2012 at 23:15 | vote | accept | Gunnar Þór Magnússon | ||
| May 30, 2010 at 20:37 | answer | added | The Mathemagician | timeline score: 8 | |
| May 30, 2010 at 18:22 | comment | added | Gunnar Þór Magnússon | Thanks for the tips, I'll look both Gunning & Rossi and Houzel up tomorrow. Some random googling also turned up "Complex analytic geometry" by G. Fischer in Lecture notes in Mathematics. The index is available on SpringerLink (springerlink.com/content/l37102231p72/front-matter.pdf), it looks like it talks about similar things as Grauert and Remmert do. | |
| May 30, 2010 at 18:06 | answer | added | Tony Pantev | timeline score: 10 | |
| May 30, 2010 at 16:03 | answer | added | Charles Siegel | timeline score: 2 | |
| May 30, 2010 at 15:49 | answer | added | Daniel Larsson | timeline score: 2 | |
| May 30, 2010 at 14:14 | history | edited | Gunnar Þór Magnússon |
added "big list" tag, made community wiki; Post Made Community Wiki
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| May 30, 2010 at 13:50 | comment | added | BCnrd | Also, the old Seminaire Cartan lectures by C. Houzel on analytic spaces give a nice treatment of the local structure of analytic spaces and properties of local rings on them, especially the henselian property of the local rings and local structure of analytic maps with isolated point in a fiber. You may find that a useful prelude to Grauert-Remmert (if not already covered by Gunning & Rossi). | |
| May 30, 2010 at 13:30 | comment | added | BCnrd | The G&R book doesn't really address flatness (but handles everything else); they use a notion of "active germs" (non-zero-divisors in a suitable sense) to get around it. The series by Gunning & Rossi treats the case of analytic spaces which are reduced. Assuming reducedness is rather restrictive (e.g., cannot make fibers products, even for analytic fibers of a branched covering of Riemann surfaces), but it may be a good way of easing into the general case and becoming more comfortable with sheaf-theoretic reasoning. | |
| May 30, 2010 at 13:15 | answer | added | Benoît Kloeckner | timeline score: 2 | |
| May 30, 2010 at 12:59 | history | asked | Gunnar Þór Magnússon | CC BY-SA 2.5 |