2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AG2006
Parametrizing algebraic varieties using Lie algebras
Jana Pilnikova
In the thesis we present a new method for parametrizing algebraic varieties over the field of characteristic zero. The problem of parametrizing is reduced to a problem of finding a…
math.AG2005★ 2 cited
Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
Willem A. de Graaf, Jana Pílniková, Josef Schicho
For a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a rational parametrization of the surface and construct one in the affirmative case. We defi…
math.AG2005★ 1 cited
A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces
Willem A. de Graaf, Michael Harrison, Jana Pilnikova +1
It is well-known that a Severi-Brauer surface has a rational point if and only if it is isomorphic to the projective plane. Given a Severi-Brauer surface, we study the problem to d…