Syzygies of projective varieties of large
                    degree: Recent progress and open problems

Ein, Lawrence; Lazarsfeld, Robert

doi:10.1090/pspum/097.1/08

Cited by 3 publications

(3 citation statements)

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“…This was originally envisioned as a warm-up problem for canonical curves, but the present authors observed a few years ago that in fact a small variant of the Hilbert-schematic ideas introduced by Voisin in [16] leads to a very quick proof of the conjecture [5]. See [6] for a survey of recent work about syzygies of varieties embedded by very positive linear series.…”

Section: Example 13 (Genus 5)mentioning

confidence: 83%

“…which is dual to the so-called Wahl map Λ 2 S i+1 U * −→ S 2i U * . 6 Recalling that Λ i+1 A ⊗ B contains Λ i+1 A ⊗ S i+1 B as a summand for any vector spaces A and B, γ then arises as the composition…”

Section: Sketch Of the Proof Of Conjecture 23mentioning

confidence: 99%

“…Working as we are over C, we can ignore this. 6 If W is any two-dimensional C-vector space with coodinates x, y, the Wahl or Gaussian mapping…”

Section: Sketch Of the Proof Of Conjecture 23mentioning

confidence: 99%

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Tangent developable surfaces and the equations defining algebraic curves

Ein

Lazarsfeld

2019

Bull. Amer. Math. Soc.

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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 concerning 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.

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Section: Example 13 (Genus 5)mentioning

confidence: 83%

Section: Sketch Of the Proof Of Conjecture 23mentioning

confidence: 99%