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Aluffi, Paolo; Anderson, David; Hering, Milena; Mustaţă, Mircea; Payne, Sam (Ed.)
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In this paper, we show that for a nonsingular projective curve and a positive integer $ k $$, the $ k $$-th secant bundle is the blowup of the $ k $$-th secant variety along the $ (k-1) $$-th secant variety. This answers a question raised in the recent paper of the authors on secant varieties of curves.more » « less
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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 the rational normal curve. This in turn led to a new proof of a fundamental theorem of Voisin on the syzygies of generic canonical curves. 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.more » « less
