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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Tango bundles on Grassmannians

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Author(s):
Costa, Laura [1] ; Marchesi, Simone [2] ; Maria Miro-Roig, Rosa [1]
Total Authors: 3
Affiliation:
[1] Fac Matemat, Dept Algebra & Geometria, Gran Via Corts Catalanes 585, Barcelona 08007 - Spain
[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Mathematische Nachrichten; v. 289, n. 8-9, p. 950-961, JUN 2016.
Web of Science Citations: 1
Abstract

The goal of this paper is to prove the existence of indecomposable rank ((k + 1)(n-k) - (k + 1)) vector bundles on the Grassmannian variety Gr(k, n). We will call them Tango bundles since in the particular case of P-n congruent to Gr(0, n) they correspond to the celebrated vector bundle discovered by H. Tango in 1974. We will give a geometrical description of Tango bundles and we will prove that they are mu-stable. (C) 2015 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim (AU)

FAPESP's process: 13/10063-0 - Moduli space of generalized instanton bundles
Grantee:Simone Marchesi
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor