Tangent developable surfaces and the equations defining algebraic curves
| Autor: | Lawrence Ein, Robert Lazarsfeld |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Surface (mathematics)
Pure mathematics Work (thermodynamics) Current (mathematics) Conjecture Fundamental theorem Applied Mathematics General Mathematics 010102 general mathematics 16. Peace & justice Rational normal curve Commutative Algebra (math.AC) Mathematics - Commutative Algebra 01 natural sciences Mathematics - Algebraic Geometry 14H51 13D02 0103 physical sciences FOS: Mathematics 010307 mathematical physics Tangent developable Algebraic curve 0101 mathematics Algebraic Geometry (math.AG) Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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