2 papers
math.AG2001
The virtual Poincare polynomials of homogeneous spaces
Michel Brion, Emmanuel Peyre
We factor the virtual Poincare polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as $t^{2u} (t^2-1)^r…
math.AG2000
Tamagawa numbers of diagonal cubic surfaces of higher rank
E. Peyre, Y. Tschinkel
We consider diagonal cubic surfaces defined by an equation of the form ax^3+by^3+cz^3+dt^3 = 0. Numerically, one can find all rational points of height < B for B in the range of up…