Timeline for What was commutative algebra before (modern) algebraic geometry?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2016 at 20:33 | comment | added | Samantha Y | Here is a link for a related topic on MSE: math.stackexchange.com/questions/83976/… | |
| Nov 9, 2016 at 22:33 | comment | added | arsmath | Doesn't van der Waerden have a proof of Riemann-Roch? | |
| Nov 9, 2016 at 17:33 | vote | accept | João Dos Reis | ||
| Nov 9, 2016 at 16:47 | comment | added | Al-Amrani | The oldest reference is the first edition of "Modern Algebra" by B.L. van der Waerden. It is partially based on lectures by E. Artin and E. Noether. No references are mentioned. Here we are far from any "Modern Algebraic Geometry", at least explicitly ! | |
| S Nov 9, 2016 at 9:52 | history | suggested | evgeny | CC BY-SA 3.0 |
language corrections
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| Nov 9, 2016 at 9:48 | comment | added | evgeny | @João, I corrected your language a bit, I hope that you do not oppose to it. By the way, am I right that "how developed it was" should mean "how sophisticated/advanced it was", not "how it was developed"? | |
| Nov 9, 2016 at 9:46 | review | Suggested edits | |||
| S Nov 9, 2016 at 9:52 | |||||
| Nov 9, 2016 at 5:59 | comment | added | YCor | The short introduction of Matsumura's book ( math.hawaii.edu/~pavel/cmi/References/… ) includes historical context. | |
| Nov 9, 2016 at 5:08 | comment | added | Samantha Y | I often wonder this myself! I like to think it would be incredibly useful for students to have some list that takes the definitions and theorems in a standard textbook (say, Matsumura) and indicates whether they were originally motivated by purely algebraic concerns, or more geometric considerations. That way one could abstract and sort 'how much' of either subject (CA vs. AG) was 'belongs' to that subject | |
| Nov 9, 2016 at 4:21 | answer | added | roy smith | timeline score: 26 | |
| Nov 9, 2016 at 3:53 | comment | added | YCor | If I'm not wrong, most, if not all the material in Matsumura's book was already motivated by pre-Grothendieck algebraic geometry. | |
| Nov 8, 2016 at 18:19 | review | First posts | |||
| Nov 8, 2016 at 18:38 | |||||
| Nov 8, 2016 at 18:15 | history | asked | João Dos Reis | CC BY-SA 3.0 |