Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree

100%

Arakelian N., Borges H.

Acta Arithmetica

2015

tom 167

nr 1

43-66

For each integer s ≥ 1, we present a family of curves that are $𝔽_q$-Frobenius nonclassical with respect to the linear system of plane curves of degree s. In the case s=2, we give necessary and sufficient conditions for such curves to be $𝔽_q$-Frobenius nonclassical with respect to the linear system of conics. In the $𝔽_q$-Frobenius nonclassical cases, we determine the exact number of $𝔽_q$-rational points. In the remaining cases, an upper bound for the number of $𝔽_q$-rational points will follow from Stöhr-Voloch theory.

Ograniczanie wyników

1 Acta Arithmetica

1 Arakelian N.

1 Borges H.

1 2015

Wyniki wyszukiwania

Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree