HOLOMORPHIC MAPPINGS BETWEEN HYPERQUADRICS WITH SMALL SIGNATURE DIFFERENCE

In this paper, we study holomorphic mappings sending a hyperquadric of signature ℓ in ℂ n into a hyperquadric of signature ℓ′ in ℂ N . We show (Theorem 1.1) that if the signature difference ℓ′–ℓ is not too large, then the mapping can be normalized by automorphisms of the target hyperquadric to a par...

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