THE LUROTH SEMIGROUP OF A PLANE CURVE C OVER F-q AND THE PRIMITIVE SET OF P is an element of C(F-q)

被引:0
|
作者
Ballico, Edoardo [1 ]
机构
[1] Univ Trento, Dept Math, Via Sommarive 14, I-38123 Trento, TN, Italy
关键词
Luroth semigroup; plane curve; curve over a finite field; Hermitian curve;
D O I
10.1142/S179355711350037X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let C is an element of P-2 be a smooth and geometrically connected curve defined over F-q. We study the Luroth semigroup of C over F-q, i.e. the set L(C, q) of all degrees > 0 of some spanned line bundle on C defined over F-q. Fix P is an element of C(F-q). We also study the set of all t. N such that both Omicron(C)(tP) and omega(C)(-tP) are spanned (the primitive set of P), when q is a square, C is the Hermitian curve and P is an element of C(Fq).
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页数:4
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