Tangent developable surfaces and the equations defining algebraic curves
Algebraic Geometry
2019-06-14 v1 Commutative Algebra
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.
Cite
@article{arxiv.1906.05429,
title = {Tangent developable surfaces and the equations defining algebraic curves},
author = {Lawrence Ein and Robert Lazarsfeld},
journal= {arXiv preprint arXiv:1906.05429},
year = {2019}
}