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.
Monatshefte f�r Mathematik – Springer Journals
Published: Mar 2, 2018
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