A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real Associative Quadrics

Vladimir V Ežov; Gerd Schmalz

doi:10.1007/bf02922107

A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real Associative Quadrics

Vladimir V Ežov
, Gerd Schmalz

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper we describe the holomorphic automorphisms for two infinite series of Hermitian quadrics: quadrics of real co-dimension 2 in ℂⁿ⁺² and a special class of quadrics of co-dimension n in ℂ²ⁿ with large automorphism groups (Real Associative Quadrics).

We give explicit formulas of the automorphisms. They are rational maps of degree not exceeding the co-dimension.

Original language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Journal of Geometric Analysis
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/bf02922107
Publication status	Published - Jan 1998
Externally published	Yes

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title = "A matrix Poincar{\'e} formula for holomorphic automorphisms of quadrics of higher codimension. Real Associative Quadrics",

abstract = "In this paper we describe the holomorphic automorphisms for two infinite series of Hermitian quadrics: quadrics of real co-dimension 2 in ℂn+2 and a special class of quadrics of co-dimension n in ℂ2n with large automorphism groups (Real Associative Quadrics). We give explicit formulas of the automorphisms. They are rational maps of degree not exceeding the co-dimension.",

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year = "1998",

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AU - Ežov, Vladimir V

AU - Schmalz, Gerd

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N2 - In this paper we describe the holomorphic automorphisms for two infinite series of Hermitian quadrics: quadrics of real co-dimension 2 in ℂn+2 and a special class of quadrics of co-dimension n in ℂ2n with large automorphism groups (Real Associative Quadrics). We give explicit formulas of the automorphisms. They are rational maps of degree not exceeding the co-dimension.

AB - In this paper we describe the holomorphic automorphisms for two infinite series of Hermitian quadrics: quadrics of real co-dimension 2 in ℂn+2 and a special class of quadrics of co-dimension n in ℂ2n with large automorphism groups (Real Associative Quadrics). We give explicit formulas of the automorphisms. They are rational maps of degree not exceeding the co-dimension.

UR - https://www.scopus.com/pages/publications/29044434387

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DO - 10.1007/bf02922107

M3 - Article

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JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real Associative Quadrics

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