Explicit maximal and minimal curves of Artin–Schreier type from quadratic forms

Quadratic Forms and Elliptic Curves

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

Quadratic Twists of Modular Forms and Elliptic Curves

Here we summarize the results presented in the first author’s lecture at the Millenial Conference on Number Theory. These results will be appearing in [O] in full detail. In addition, we present a new result regarding the growth of Tate-Shafarevich groups of certain elliptic curves over elementary abelian simple 2-extensions. We begin by fixing notation. Suppose that F (z) = ∑∞ n=1 a(n)q n ∈ S2...

A note on superspecial and maximal curves

In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some well-known superspecial curves.

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.