Decomposability of polynomial valued 2-forms

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Title ( eng )
Decomposability of polynomial valued 2-forms
Creator
Contributors 国立情報学研究所
Source Title
広島大学総合科学部紀要. IV, 理系編
Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
Volume 30
Start Page 53
End Page 71
Abstract
We give a characterization of decomposable polynomial valued 2-forms in terms of their components. Such 2-forms must satisfy some cubic condition in addition to Plücker's quadratic relation. Several GL(n, K)×GL(m, K)-invariant varieties naturally appear during this characterization, and we state the mutual relation of these varieties and study their geometric properties in detail.
Keywords
polynomial valued 2-form
decomposability
Plücker's relation
variety
NDC
Mathematics [ 410 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
広島大学総合科学部
Date of Issued 2004-12
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1340-8364
[NCID] AN10435936