Normal bundles of canonical curves


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April 12, 2022 3:00 pm - 4:00 pm
MIT Room 2-143

Isabel Vogt - Brown University

The extrinsic geometry of the canonical model of a nonhyperelliptic curve captures many aspects of the intrinsic geometry of the curve.  In this talk I will discuss joint work with Izzet Coskun and Eric Larson in which we show that the normal bundle of a general canonical curve of genus at least 7 is always semistable.  This makes substantial progress towards a conjecture of Aprodu--Farkas--Ortega, and answers it completely in a third of all cases.