✦ LIBER ✦
A geometric description of the neutral component of the Jacobian of a real plane curve having many pseudo–lines
✍ Scribed by G. Fichou; J. Huisman
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 102 KB
- Volume
- 254-255
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
A pseudo–line of a real plane curve is a real branch that is not homologically trivial in ℙ^2^(ℝ). A real plane curve C of degree d is said to have many pseudo–lines if it has exactly d – 2 pseudo–lines and if the genus of its normalization C̃ is equal to d – 2. Let C be such a curve. We give a planar description of the neutral component of the set of real points of the Jacobian of the normalization C̃ of C.