12 citations · 21 across the 5 of their papers we have counts for
5 papers
Division Algebras and Quadratic Reciprocity
Timothy J. Ford
The Grothendieck and Artin-Mumford exact sequences for the Brauer group of a function field in 1 or 2 variables are applied to derive reciprocity laws for th power residues.
The Brauer Group of an Affine Double Plane Associated to a Hyperelliptic Curve
Timothy J. Ford
For an affine double plane defined by an equation of the form z^2 = f, we study the divisor class group and the Brauer group. Two cases are considered. In the first case, f is a pr…
The Group of Units on an Affine Variety
Timothy J. Ford
The object of study is the group of units O^\ast(X) in the coordinate ring of a normal affine variety X over an algebraically closed field k. Methods of Galois cohomology are appli…
Topological invariants of a fan associated to a toric variety
Timothy J. Ford
Associated to a toric variety of dimension over a field is a fan on . The fan is a finite set of cones which are in one-to-one correspondence with the…
The cohomological Brauer group of a toric variety
Frank DeMeyer, Tim Ford, Rick Miranda
Toric varieties are a special class of rational varieties defined by equations of the form {\it monomial = monomial}. For a good brief survey of the history and role of toric varie…