3 papers
math.AG2018
On the level of a Calabi-Yau hypersurface
Stiofáin Fordham
Boix-De Stefani-Vanzo defined the notion of level for a smooth projective hypersurface over a finite field in terms of the stabilisation of a chain of ideals previously considered…
math.NT2018
Differential operators and hyperelliptic curves over finite fields
Iván Blanco-Chacón, Alberto F. Boix, Stiofáin Fordham +1
Boix, De Stefani and Vanzo have characterized ordinary/supersingular elliptic curves over in terms of the level of the defining cubic homogenous polynomial. We exten…
math.AG2018
Divisibility of L-Polynomials for a Family of Curves
Ivan Blanco Chacon, Robin Chapman, Stiofain Fordham +1
We consider the question of when the L-polynomial of one curve divides the L-polynomial of another curve. A theorem of Tate gives an answer in terms of jacobians. We consider the q…