Timeline for Geometric generic fibre

10 events

when toggle format	what		by	license	comment
Jul 7, 2015 at 19:58	vote	accept	Lazzaro Campeotti
Jul 7, 2015 at 19:22	answer	added	J.C. Ottem		timeline score: 8
Jul 6, 2015 at 11:35	comment	added	Lazzaro Campeotti		@Mohan: as I mentioned in the question, I am not asking about isomorphism as varieties over $\mathbf C$. Donu's example shows what can happen when we allow this wider class of morphism.
Jul 5, 2015 at 21:30	history	edited	Lazzaro Campeotti	CC BY-SA 3.0	added 112 characters in body
Jul 5, 2015 at 19:19	history	edited	Lazzaro Campeotti	CC BY-SA 3.0	added 8 characters in body
Jul 5, 2015 at 19:09	comment	added	Lazzaro Campeotti		@DonuArapura: right, that's the kind of situation I had in mind to convince myself this isn't completely crazy!
Jul 5, 2015 at 19:07	history	edited	Lazzaro Campeotti	CC BY-SA 3.0	added 66 characters in body
Jul 5, 2015 at 16:26	comment	added	Donu Arapura		This looks right, even if counterintuitive. It may help to consider the following example. Let $E_t= \{y^2=x(x-1)(x-t)\}$. Then $E_\pi$ and $E_e$ are not isomorphic as $\mathbb{C}$-schemes. However, there exists a field automorphism of $\mathbb{C}$ taking $\pi$ to $e$, and thus the first curve to the second.
Jul 5, 2015 at 15:52	comment	added	Mohan		Think of $j$-function for elliptic curves. In particular, cubic curves in $\mathbb{P}^2_{\mathbb{C}}$.
Jul 5, 2015 at 14:34	history	asked	Lazzaro Campeotti	CC BY-SA 3.0