Remarks on the gap set of $R=\mathcal{K}+C$

Nesrin Tuta{\c{s}}

doi:10.4134/BKMS.2010.47.2.433

Article

HOME

ALL ARTICLES

View

Bull. Korean Math. Soc. 2010; 47(2): 433-442

Printed March 1, 2010

https://doi.org/10.4134/BKMS.2010.47.2.433

Remarks on the gap set of $R=\mathcal{K}+C$

Nesrin Tuta{\c{s}}

Akdeniz University

Abstract

Go to

Abstract

{$\tilde{G}(P,Q)$}, a new generalization of the set of gap numbers of a pair of points, was described in [1]. Here we study gap numbers of local subring $R=\mathcal{K}+C$ of algebraic function field over a finite field and we give a formula for the number of elements of {$\tilde{G}(P,Q)$} depending on pure gaps and {$R$}.

Keywords: Weierstrass points, gap numbers

MSC numbers: 14H55, 14G50