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Nov 30, 2017 at 20:44 comment added Martin Sleziak BTW this question is listed among references in the Wikipedia articles List of incomplete proofs (current revision) and Italian school of algebraic geometry (current revision).
Nov 30, 2017 at 20:42 history edited Martin Sleziak CC BY-SA 3.0
added Wikipedia link
Nov 30, 2017 at 20:32 history edited Martin Sleziak CC BY-SA 3.0
minor typo
Sep 22, 2017 at 7:33 comment added Peter Heinig Not yet explicitly mentioned in this thread: relevant is John Tates laudatio for Mumford, where on p. 11 one reads: "[...], what is the structure of the group of 0-cycles [on an algebraic surface S] of degree 0 modulo the subgroup of cycles rationally equivalent to zero, i.e., which can be deformed to 0 by a deformation which is parametrized by a line. [...] what about the kernel [of the epi to the Albanese variety of S]? Is it finite-dimensional. Severi thought so; but Mumford proved it is not, if the geometric genus of the surface is $\geq 1$."
Jun 1, 2013 at 11:44 comment added anon Actually, Grothendieck didn't make "algebraic geometry rigorous". Weil and Zariski made algebraic geometry rigorous.
Feb 11, 2011 at 9:16 comment added Chandan Singh Dalawat Perhaps the 19th century Italian school of algebraic geometry should be the the 20th century...
Apr 5, 2010 at 11:07 answer added Franz Lemmermeyer timeline score: 31
Mar 28, 2010 at 8:21 history edited Kevin Buzzard CC BY-SA 2.5
clarifying para at the end
Mar 27, 2010 at 13:21 answer added Angelo timeline score: 115
Mar 27, 2010 at 12:53 vote accept Kevin Buzzard
Mar 27, 2010 at 8:27 answer added VA. timeline score: 32
Mar 26, 2010 at 19:14 comment added bhwang ftp.mcs.anl.gov/pub/qed/archive/209 This illuminating email by David Mumford is a concise example of how a modern algebraic geometer might feel about the work of the Italian school.
Mar 26, 2010 at 14:26 answer added damiano timeline score: 76
Mar 26, 2010 at 13:59 answer added Donu Arapura timeline score: 23
Mar 26, 2010 at 13:54 comment added Kevin Buzzard @jc: no ;-) Thanks! That question turned out to have a narrower remit I guess.
Mar 26, 2010 at 13:39 comment added j.c. Are you aware of this question which has a similar flavor? mathoverflow.net/questions/17352/…
Mar 26, 2010 at 13:34 answer added Emerton timeline score: 27
Mar 26, 2010 at 13:26 history asked Kevin Buzzard CC BY-SA 2.5