A geometric description of the neutral component of the Jacobian of a real plane curve having many pseudo–lines | Zendy

Fichou G. | Zendy; Huisman J. | Zendy

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A geometric description of the neutral component of the Jacobian of a real plane curve having many pseudo–lines

Author(s) -

Fichou G.,

Huisman J.

Publication year - 2003

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310057

Subject(s) - normalization (sociology) , jacobian matrix and determinant , mathematics , planar , plane curve , plane (geometry) , complex plane , line (geometry) , mathematical analysis , pure mathematics , geometry , computer science , computer graphics (images) , sociology , anthropology

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 .

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