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math.AG2005
A conjecture of Ax and degenerations of Fano varieties
János Kollár
James Ax conjectured that every pseudo algebraically closed field is . We prove this conjecture in characteristic 0 by relating it to degenerations of Fano varieties.
math.AG2005
Resolution of Singularities -- Seattle Lecture
János Kollár
These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hiro…