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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / 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 / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 18, Issue 4


On rational varieties of small rationality degree

Davide Fusi
  • Corresponding author
  • Department of Mathematics, The Ohio State University, 231 W 18th Ave, Columbus, OH 43210, USA
  • Department of Mathematics and Computational Science, University of South Carolina Beaufort, One University Boulevard Bluffton, SC 29909, South Carolina Beaufort, USA
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Published Online: 2018-03-26 | DOI: https://doi.org/10.1515/advgeom-2017-0059


We prove a stronger version of a criterion of rationality given by Ionescu and Russo. We use this stronger version to define an invariant for rational varieties (we call it rationality degree), and we classify rational varieties for small values of the invariant.

Keywords: Projective variety; rational variety; rational curve

MSC 2010: 14M20


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About the article

Received: 2016-07-03

Revised: 2016-08-15

Published Online: 2018-03-26

Published in Print: 2018-10-25

Citation Information: Advances in Geometry, Volume 18, Issue 4, Pages 483–494, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2017-0059.

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