EULER CHARACTERISTIC OF TANGO BUNDLES

We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\). In particular, we show that the Euler characteristic of the Tango bundle on \(\mathbb{P}^n\) is equal to \(2n-1\).

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Main Authors: Hong Cong Nguyen, Tuan Hiep Dang, Thi Mai Van Nguyen
Format: Article
Language:English
Published: Dalat University 2022-01-01
Series:Tạp chí Khoa học Đại học Đà Lạt
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Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/956
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author Hong Cong Nguyen
Tuan Hiep Dang
Thi Mai Van Nguyen
author_facet Hong Cong Nguyen
Tuan Hiep Dang
Thi Mai Van Nguyen
author_sort Hong Cong Nguyen
collection DOAJ
description We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\). In particular, we show that the Euler characteristic of the Tango bundle on \(\mathbb{P}^n\) is equal to \(2n-1\).
format Article
id doaj-art-a669463f251b47daa5384c1afc829be0
institution Kabale University
issn 0866-787X
language English
publishDate 2022-01-01
publisher Dalat University
record_format Article
series Tạp chí Khoa học Đại học Đà Lạt
spelling doaj-art-a669463f251b47daa5384c1afc829be02025-02-02T23:31:54ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2022-01-0111312210.37569/DalatUniversity.12.2.956(2022)677EULER CHARACTERISTIC OF TANGO BUNDLESHong Cong Nguyen0Tuan Hiep Dang1Thi Mai Van Nguyen2Asia Pacific CollegeDalat UniversityQuy Nhon UniversityWe are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\). In particular, we show that the Euler characteristic of the Tango bundle on \(\mathbb{P}^n\) is equal to \(2n-1\).https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/956euler characteristictango bundle.
spellingShingle Hong Cong Nguyen
Tuan Hiep Dang
Thi Mai Van Nguyen
EULER CHARACTERISTIC OF TANGO BUNDLES
Tạp chí Khoa học Đại học Đà Lạt
euler characteristic
tango bundle.
title EULER CHARACTERISTIC OF TANGO BUNDLES
title_full EULER CHARACTERISTIC OF TANGO BUNDLES
title_fullStr EULER CHARACTERISTIC OF TANGO BUNDLES
title_full_unstemmed EULER CHARACTERISTIC OF TANGO BUNDLES
title_short EULER CHARACTERISTIC OF TANGO BUNDLES
title_sort euler characteristic of tango bundles
topic euler characteristic
tango bundle.
url https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/956
work_keys_str_mv AT hongcongnguyen eulercharacteristicoftangobundles
AT tuanhiepdang eulercharacteristicoftangobundles
AT thimaivannguyen eulercharacteristicoftangobundles