Timeline for Complex analytic vs algebraic geometry
Current License: CC BY-SA 4.0
19 events
| when toggle format | what | by | license | comment | |
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| Jan 28, 2020 at 15:55 | comment | added | Dan Fox | The deformation theory of Stein spaces in the sense of Cieliebak/Eliashberg is a sort of extension of the classical theory of Stein manifolds in a direction inspired by symplectic topology rather than algebraic geometry. | |
| Jan 28, 2020 at 15:24 | history | edited | Bananeen | CC BY-SA 4.0 |
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| Jan 28, 2020 at 2:28 | answer | added | Vincenzo Zaccaro | timeline score: 3 | |
| Apr 17, 2019 at 16:28 | history | edited | Bananeen | CC BY-SA 4.0 |
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| Apr 17, 2019 at 13:27 | history | edited | Bananeen | CC BY-SA 4.0 |
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| Feb 25, 2019 at 0:32 | vote | accept | Bananeen | ||
| Dec 16, 2018 at 15:32 | history | edited | Bananeen | CC BY-SA 4.0 |
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| Dec 16, 2018 at 15:19 | comment | added | Bananeen | @BenMcKay, yes I mainly meant this second direction. | |
| Dec 16, 2018 at 15:17 | comment | added | Ben McKay | I would like to be clearer about whether "complex geometry" is meant to include Kaehler geometry (which is intensely active and in white heat around Siu and Demailly and many others) or do we mean the story of Grauert, Remmert, Stein, Cartan, Douady and others of Stein spaces and the construction of a kind of SCV analogue of algebraic geometry for complex spaces? I see this second direction as relatively cool at the moment, and I would agree that I don't know why. | |
| Dec 16, 2018 at 14:04 | answer | added | Donu Arapura | timeline score: 12 | |
| Dec 16, 2018 at 9:00 | review | Close votes | |||
| Dec 17, 2018 at 11:32 | |||||
| Dec 16, 2018 at 1:33 | comment | added | Jason Starr | What possible purpose can it serve for you to ask whether "complex-analytic geometry became a much less active field"? If there is a beautiful problem in complex analysis that you would like to solve, I recommend that you learn about that and work on that regardless of questions like this one. | |
| Dec 16, 2018 at 0:03 | comment | added | Sam Hopkins | Isn’t Kahler geometry a large and active area, a part of complex geometry but outside of algebraic geometry? | |
| Dec 15, 2018 at 23:45 | history | edited | Bananeen | CC BY-SA 4.0 |
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| Dec 15, 2018 at 23:45 | comment | added | Bananeen | @JasonStarr, oh, ok, didn't know about the Quot scheme, I will edit it out. But what about the post itself, do you disagree that complex-analytic geometry became a much less active field? | |
| Dec 15, 2018 at 23:36 | answer | added | Libli | timeline score: 22 | |
| Dec 15, 2018 at 21:57 | comment | added | Donu Arapura | I suspect the reasons for the shift are more sociological than mathematical. | |
| Dec 15, 2018 at 19:59 | comment | added | Jason Starr | There are Quot spaces in the complex analytic setting. This is a consequence of Douady spaces. | |
| Dec 15, 2018 at 19:12 | history | asked | Bananeen | CC BY-SA 4.0 |