A souped-up version of Pardini's theorem and its application to funny curves

Masaaki Homma

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Displaying similar documents to “A souped-up version of Pardini's theorem and its application to funny curves”

Curves on a smooth quadric.

S. Giuffrida, R. Maggioni (2003)

Collectanea Mathematica

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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.

Some remarks on plane curves over fields of finite characteristic

Rita Pardini (1986)

Compositio Mathematica

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Non-reflexive curves

Abramo Hefez (1989)

Compositio Mathematica

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Halphen gaps and good space curves

Jan O. Kleppe (1998)

Bollettino dell'Unione Matematica Italiana

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In questo articolo dimostriamo l'esistenza di curve "buone e generali" di grado $d$ e genere $g$ che giacciono su di una superfice liscia di grado $s$ , per ogni $s \geq 4$ , $d \geq (\begin{matrix} s \\ 2 \end{matrix})$ , e $g$ in un certo intervallo vicino al genere massimo.

On the quantum cohomology of the plane, old and new, and a K3 analogue.

Z. Ran (1998)

Collectanea Mathematica

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On linearly normal strange curves

Edoardo Ballico (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Here we prove a numerical bound implying that, except for smooth plane conics in characteristic 2, no complete linear system maps birationally a smooth curve into a projective space with a strange curve as image.