Timeline for What was commutative algebra before (modern) algebraic geometry?
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6 events
| when toggle format | what | by | license | comment | |
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| Nov 11, 2016 at 0:40 | comment | added | ACL | Actually, I had just browsed at the table of contents of volume 2, and had not realized that. Thank you! | |
| Nov 10, 2016 at 23:56 | comment | added | roy smith | @ACL, probably you know that Zariski Samuel discuss homological codimension and cohomological dimension (due essentially to Hilbert) via syzygies in their volume 2, chVII, and use the latter concept to prove that regular local rings are ufd's following Auslander and Buchsbaum, in appendix 7. I.e. I would suggest that basic cohomological methods and deep applications may be said to have been already included there, but I think your point has validity still in the subsequent ascendancy of those methods. | |
| Nov 9, 2016 at 17:33 | vote | accept | João Dos Reis | ||
| Nov 9, 2016 at 14:33 | comment | added | ACL | A variant of your answer could be: compare the books by Matsumura and Zariski-Samuel. One thing that happened inbetween is the development of cohomological methods. | |
| Nov 9, 2016 at 5:10 | comment | added | Samantha Y | This is from Zariski's 1950 ICM address entitled 'The Fundamental Ideas of Abstract Algebraic Geometry' and found, for instance, here: mathunion.org/ICM/ICM1950.2/Main/icm1950.2.0077.0089.ocr.pdf | |
| Nov 9, 2016 at 4:21 | history | answered | roy smith | CC BY-SA 3.0 |