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Tony Pantev

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May
30
comment A question on the topological change of dualizing a SLAG fibration.
The fact that the minimal resolution of the compactified relative Picard is again a K3 can be checked directly from Kodaira's classification of singular fibers. The type of the singular fiber is determined by the local monodromy and the local monodromy doesn't change under dualization because it is in $SL_2$. Once you know that singular fibers are the same as the original ones, the canonical class formula for an elliptic surface tells you that you have a K3. This doesn't work in higher dimensions already topologically as Mark explained above.
May
29
answered A question on the topological change of dualizing a SLAG fibration.
Feb
8
accepted Hitchin fibration outside of type A
Feb
5
revised Hitchin fibration outside of type A
added 2 characters in body
Feb
5
answered Hitchin fibration outside of type A