Abstract: We find t-designs on compact algebraic manifolds with a number of points comparable to the dimension of the space of polynomials of degree t on the manifold. This generalizes results on the sphere by Bondarenko et al. (Ann Math 178(2):443-452, 2013). Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been proved previously.

Autoría

Descargar referencia