Tangent developable surfaces and the equations defining algebraic curves

Lawrence Ein; Robert Lazarsfeld

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arXiv · 1906.05429

Tangent developable surfaces and the equations defining algebraic curves

Lawrence Ein·Robert Lazarsfeld

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Abstract

This is an introduction, aimed at a general mathematical audience, to recent work of Aprodu, Farkas, Papadima, Raicu and Weyman. These authors established a long-standing folk conjecture concerning the equations defining the tangent developable surface of a rational normal curve. This in turn led to a new proof of a fundamental theorem of Voisin on the syzygies of a general canonical curve. The present note, which is the write-up of a talk given by the second author at the Current Events seminar at the 2019 JMM, surveys this circle of ideas.

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Lawrence Ein, Robert Lazarsfeld. 2019-06-13. Tangent developable surfaces and the equations defining algebraic curves. https://arxiv.org/abs/1906.05429

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