Timeline for Complex analytic vs algebraic geometry
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 25, 2019 at 0:32 | vote | accept | Bananeen | ||
| Dec 16, 2018 at 9:59 | comment | added | Jason Starr | I would like to see statistics. I do not accept that "the premise of this question is a statistical fact". I suspect the basis of this question is confusion on the part of the OP, and the basis of further discussion is projection of our own biases on a question that, finally, is vacuous. | |
| Dec 16, 2018 at 9:42 | comment | added | geometer | @JasonStarr I think all reasonable mathematicians agree that doing mathematics is more interesting than playing "power games" in academia. However, I think OP's question is more than a pointless word game. To frame it more precisely, we may ask "Why did the number of professional algebraic geometers explode in 1960's while the number of analytic geometers didn't?". The premise of this question is a statistical fact and there might be a legitimate sociological or mathematical reason behind it. | |
| Dec 16, 2018 at 1:22 | comment | added | Jason Starr | @Libli. I read what you wrote. I think that the OP, or anybody, would do better to read beautiful mathematics (about which the OP is apparently confused) rather than play pointless word games about which field of mathematics is more active. | |
| Dec 16, 2018 at 0:53 | comment | added | Qfwfq | @Bananeen: isn't the algebraic category supposed to be more "rigid" than the analytic one? I would tend to think it's the "rigidity" aspects of algebraic geometry that make it "easier" than the analytic counterpart. | |
| Dec 15, 2018 at 23:51 | comment | added | Bananeen | @Libli, thank you for your comment, I've heard a similar position, that algebraic category somehow has just the optimal balance of flexibility and rigidity to make proofs easier than in complex analytic category. It is interesting to know about the new approach to MMP you mention towards the end. | |
| Dec 15, 2018 at 23:45 | history | edited | Libli | CC BY-SA 4.0 |
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| Dec 15, 2018 at 23:44 | comment | added | Libli | @JasonStarr Did you read my answer or did you post your comment for the sake of it? | |
| Dec 15, 2018 at 23:42 | comment | added | Jason Starr | I think perhaps the OP is merely confused. As anybody can freely read, Douady proved representability of Quot in the analytic setting. Here is a link to Douady's paper: numdam.org/item/AIF_1966__16_1_1_0 It might be unwise to engage in argumentative speculations if, in fact, the OP is simply confused. | |
| Dec 15, 2018 at 23:36 | history | answered | Libli | CC BY-SA 4.0 |