Calabi-Yau threefolds with vanishing third Betti number

Calabi-Yau threefolds with vanishing third Betti number

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Chad Schoen, Duke University
Fine Hall 322

Smooth, projective, three dimensional, algebraic varieties with trivial canonical sheaf and vanishing third etale Betti number do not exist over fields of characteristic zero. In the past few years a number of examples have been found in positive characteristic. Some of these examples and questions they raise will be discussed.