Curves on a quadric surface over $\overline{\mathbb {F}}_p$

Here (following a paper by Giuffida, Maggioni and Re) we study the existence of curve $C\in \vert \mathcal {O}_{\mathbb {P}^1\times \mathbb {P}^1}(a,b)\vert$<br />defined over small fields and with $h^0(C,\mathcal {O}_C(x,y))\cdot h^1(C, \mathcal {O}_C(x,y))=0$ for all integers $x, y$ such tha...

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Bibliographic Details
Main Author: Edoardo Ballico
Format: Article
Language:English
Published: Università degli Studi di Catania 2012-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/904