I have a paper, when I can find it, making the Nakia conjecture real...
While you wait for my Western mathematical proof prof. listen to this...
[bbvideo=560,315]https://www.youtube.com/watch?v=Wp2oSuh1Hy0[/bbvideo]
Forgive me if I patronise you with Wiki
In mathematics, the Nakai conjecture is an unproven characterization of smooth algebraic varieties, conjectured by Japanese mathematician Yoshikazu Nakai in 1961. It states that if V is a complex algebraic variety, such that its ring of differential operators is generated by the derivations it contains, then V is a smooth variety. The converse statement, that smooth algebraic varieties have rings of differential operators that are generated by their derivations, is a result of Alexander Grothendieck.
The Nakai conjecture is known to be true for algebraic curves and Stanley-Reisner rings.A proof of the conjecture would also prove the Zariski–Lipman conjecture, for a complex variety V with coordinate ring R. This conjecture states that if the derivations of R are a free module over R, then V is smooth.
Mathematical porn...
I expect our resident porn expert AA to demur! AA?
MA
