Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves

Gavril Farkas; Mircea Mustaţǎ; Mihnea Popa

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Displaying similar documents to “Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves”

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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.

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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.