Timeline for Non-algebraic K3 surfaces in characteristic $p$

10 events

when toggle format	what		by	license	comment
Nov 22, 2017 at 22:38	vote	accept	Daniel Loughran
Jun 15, 2015 at 23:19	vote	accept	Daniel Loughran
Nov 22, 2017 at 22:38
Jun 15, 2015 at 16:56	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 4 characters in body
Jun 15, 2015 at 14:40	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 10 characters in body
Jun 15, 2015 at 14:24	comment	added	pro		since the word "beginner" has been used, a link to a previous answer seems relevant (I didn't know beforehand that all complete regular local rings are pretty much all created equal) mathoverflow.net/a/191737/73972
Jun 15, 2015 at 14:09	history	edited	Francesco Polizzi	CC BY-SA 3.0	added 1 character in body
Jun 15, 2015 at 14:01	comment	added	Francesco Polizzi		Right, good point.
Jun 15, 2015 at 13:59	comment	added	David E Speyer		To add a useful comment for beginners: The big difference between $\mathbb{C}$ and $\mathbb{F}_p$ here is that we can talk about convergence of power series over $\mathbb{C}$. Thus, we can take the formal power series in the $x_i$ and plug in nonzero complex numbers to get non-algebraic $K_3$'s. Over $\mathbb{F}_p$, the power series still exist, but it doesn't make sense to evaluate them anywhere except at $0$.
Jun 15, 2015 at 13:47	history	edited	Francesco Polizzi	CC BY-SA 3.0	deleted 5 characters in body
Jun 15, 2015 at 13:41	history	answered	Francesco Polizzi	CC BY-SA 3.0