広島大学総合科学部紀要. IV, 理系編 30 巻
2004-12 発行

Decomposability of polynomial valued 2-forms

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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.
著者キーワード
polynomial valued 2-form
decomposability
Plücker's relation
variety