3 papers
math.RA2018
Nonsingular Bilinear Maps Revisited
Carlos Dominguez, Kee Yuen Lam
More than 47 years have passed without any new example of nonsingular bilinear maps appearing in literature. The purpose of this paper is to construct a new family of nonsingular b…
math.NT2012
Quadratic fields with cyclic 2-class groups
Carlos Dominguez, Steven J. Miller, Siman Wong
For any integer , we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order . The proof combines the circle method with…
math.AT2011
The integral cohomology of configuration spaces of pairs of points in real projective spaces
Carlos Dominguez, Jesus Gonzalez, Peter Landweber
We compute the integral cohomology ring of configuration spaces of two points on a given real projective space. Apart from an integral class, the resulting ring is a quotient of th…