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Forum Mathematicum

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Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna


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Volume 29, Issue 3

Issues

Exceptional bundles of homological dimension ${k}$

Rosa María Miró-Roig
  • Facultat de Matemàtiques, Departament d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
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/ Helena SoaresORCID iD: http://orcid.org/0000-0002-6472-0061
Published Online: 2016-07-12 | DOI: https://doi.org/10.1515/forum-2015-0058

Abstract

We characterize exceptional vector bundles on n of arbitrary homological dimension defined by a linear resolution. Moreover, we determine all Betti numbers of such resolution.

Keywords: Exceptional bundles; homological dimension; Steiner bundles

MSC 2010: 14J10; 14J60

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About the article


Received: 2015-03-30

Revised: 2016-03-01

Published Online: 2016-07-12

Published in Print: 2017-05-01


Funding Source: Fundação para a Ciência e a Tecnologia

Award identifier / Grant number: PTDC/MAT-GEO/0675/2012

Funding Source: Ministerio de Economía y Competitividad

Award identifier / Grant number: MTM2013-45075-P

Funding Source: Fundação para a Ciência e a Tecnologia

Award identifier / Grant number: SFRH/BSAB/105740/2014

Both authors were partially supported by project PTDC/MAT-GEO/0675/2012, Fundação para a Ciência e Tecnologia. The first author also received partial support from project MTM2013-45075-P, Ministerio de Economia y Competitividad. The second author was partially supported by the sabbatical grant SFRH/BSAB/105740/2014, Fundação para a Ciência e Tecnologia, and acknowledges the funding and hospitality from the Departament d’Àlgebra i Geometria of Universitat de Barcelona, where part of the work of this paper was developed.


Citation Information: Forum Mathematicum, Volume 29, Issue 3, Pages 701–715, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2015-0058.

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