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July 6, 2026
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On modality and complexity of affine embeddings

Sbornik Mathematics. 2001. Vol. 192. No. 8. P. 1133–1138.
Arzhantsev I.

Let G be a reductive algebraic group and let H be a reductive subgroup of G. The modality of a G-variety X is the largest number of the parameters in a continuous family of G-orbits in X. A precise formula for the maximum value of the modality over all affine embeddings of the homogeneous space G/H is obtained.

Research target: Mathematics
Language: English
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Keywords: modalityorbitreductive group
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