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Perfect curves on elliptic K3 surfaces

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019

May 08, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Max Lieblich (University of Washington)
Location: MSRI: Simons Auditorium
  • Supersingular

  • K3 surface

  • elliptic fibration

  • Brauer group

  • rational curves

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



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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H.264 Video 869_26598_7733_10-Lieblich.mp4
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