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Abstract
The classical Barvinok bound for the sum of the Betti numbers of the intersection X of three quadrics in ℝPn says that there exists a natural number a such that b(X) ≤ n3a. We improve this bound proving the inequality b(X) ≤ n(n+1). Moreover we show that this bound is asymptotically sharp as n goes to infinity.
Published Online: 2014-7-8
Published in Print: 2014-7-1
© 2014 by Walter de Gruyter Berlin/Boston
