Perfect curves on elliptic K3 surfaces
Location: MSRI: Simons Auditorium
I will discuss joint work with Daniel Bragg on the geometry of supersingular K3 surfaces and their moduli. In particular, I will discuss a proof that for very general supersingular K3 surfaces, no non-Jacobian elliptic structure can carry a purely inseparable multisection. This appears to invalidate the published proof of Artin's unirationality conjecture.
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