mdeland
|
Registered User
|
|
|
Nov 28 |
comment |
$n$-path-connected components of a variety In characteristic 0, rationally connected <=> 0-path connected. This follows from the 'comb smoothing' technique described, for example, in Koll\'ar's book on rational curves on algebraic varieties. I've wondered before about varieties which are n-connected (in your sense). But the deformation theory for higher genus curves is not as nice. In genus 0 we get lucky because 0 + 0 = 0! |
