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Back to Algebraic Geometry Seminar: Spring 2022

Algebraic Geometry Seminar


Date: Tuesday, Mar 22, 2022

Time: 3:30PM - 4:30PM

Location: See individual entries

Virtual


Isabel Vogt

Brown University

Title

Normal bundles of canonical curves

Abstract

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.

Algebraic Geometry

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