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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.
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 -