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Counting the hyperplane sections with fixed invariants of a plane quintic – three approaches to a classical enumerative problem
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Charles Cadman
Veröffentlicht/Copyright:
28. November 2008
Abstract
We use three different methods to count the number of lines in the plane whose intersection with a fixed general quintic has fixed cross-ratios. We compare and contrast these methods, shedding light on some classical ideas which underlie modern techniques.
Received: 2007-01-24
Revised: 2007-12-28
Published Online: 2008-11-28
Published in Print: 2008-October
© de Gruyter 2008
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Artikel in diesem Heft
- Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three
- Finite type Monge–Ampère foliations
- The horofunction boundary of the Hilbert geometry
- Counting the hyperplane sections with fixed invariants of a plane quintic – three approaches to a classical enumerative problem
- Totally non-real divisors in linear systems on smooth real curves
- Covers of Klein surfaces
- A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number
- On reduced polytopes and antipodality
Artikel in diesem Heft
- Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three
- Finite type Monge–Ampère foliations
- The horofunction boundary of the Hilbert geometry
- Counting the hyperplane sections with fixed invariants of a plane quintic – three approaches to a classical enumerative problem
- Totally non-real divisors in linear systems on smooth real curves
- Covers of Klein surfaces
- A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number
- On reduced polytopes and antipodality
