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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 16, Issue 2


Extremal effective divisors of Brill–Noether and Gieseker–Petri type in

Dawei Chen / Anand Patel
Published Online: 2016-04-16 | DOI: https://doi.org/10.1515/advgeom-2016-0002


We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with n ordered marked points. In particular, they are different from the infinitely many extremal rays found in [3].

Keywords: Divisor; stable genus one curve; moduli space

About the article

Received: 2014-07-31

Revised: 2014-10-02

Published Online: 2016-04-16

Published in Print: 2016-04-01

Citation Information: Advances in Geometry, Volume 16, Issue 2, Pages 231–242, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2016-0002.

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