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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 14, Issue 3


The total Betti number of the intersection of three real quadrics

A. Lerario
Published Online: 2014-07-08 | DOI: https://doi.org/10.1515/advgeom-2014-0013


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.

About the article

Published Online: 2014-07-08

Published in Print: 2014-07-01

Citation Information: Advances in Geometry, Volume 14, Issue 3, Pages 541–551, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2014-0013.

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© 2014 by Walter de Gruyter Berlin/Boston. Copyright Clearance Center

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