What clsses of algebraic varieties over field of positive characteristic can be lift to $W_2(k)$?
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6$\begingroup$ Curves, K3 surfaces, abelian varieties, ... is there more context to the question or is this just a "big list"? $\endgroup$– MattCommented Apr 10, 2011 at 19:09
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$\begingroup$ All affine varieties, trivially! are you assuming $k$ to be perfect? and is the motivation stemming from Deligne-Illusie's famous paper? $\endgroup$– SGPCommented Apr 10, 2011 at 21:58
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$\begingroup$ In addition to affine varieties, curves, K3 surfaces, abelian varieties, have anything else which statisfy the liftability? The $k$ may be perfect or even algebraically closed. $\endgroup$– UniverseCommented Apr 11, 2011 at 10:57
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$\begingroup$ Is there a particular variety or class of varieties you want to be liftable? Perhaps that would give you a better answer. $\endgroup$– Karl SchwedeCommented Apr 11, 2011 at 11:15
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$\begingroup$ I want to know as much as possible class of schemes or varieties(especially projective)， which can be lift to $W_2(k)$. Does any toric varieties always liftable? $\endgroup$– UniverseCommented Apr 11, 2011 at 12:50
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