Curves on a smooth quadric.

S. Giuffrida; R. Maggioni

Collectanea Mathematica (2003)

  • Volume: 54, Issue: 3, page 309-325
  • ISSN: 0010-0757

Abstract

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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.

How to cite

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Giuffrida, S., and Maggioni, R.. "Curves on a smooth quadric.." Collectanea Mathematica 54.3 (2003): 309-325. <http://eudml.org/doc/44321>.

@article{Giuffrida2003,
abstract = {We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.},
author = {Giuffrida, S., Maggioni, R.},
journal = {Collectanea Mathematica},
keywords = {Cuádricas; Curvas; Ecuaciones polinómicas; Matrices},
language = {eng},
number = {3},
pages = {309-325},
title = {Curves on a smooth quadric.},
url = {http://eudml.org/doc/44321},
volume = {54},
year = {2003},
}

TY - JOUR
AU - Giuffrida, S.
AU - Maggioni, R.
TI - Curves on a smooth quadric.
JO - Collectanea Mathematica
PY - 2003
VL - 54
IS - 3
SP - 309
EP - 325
AB - We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.
LA - eng
KW - Cuádricas; Curvas; Ecuaciones polinómicas; Matrices
UR - http://eudml.org/doc/44321
ER -

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