Abstract
Let H l n and H l , l ′ , n N be the complexifications of the real hyperquadrics in C n and C N of signatures l and l ′ , respectively. We study local holomorphic Segre maps sending a piece of H l n into H l , l ′ , n N with the degeneracy rank l 0 = 1 and N ≥ n . We show that these maps possess super rigidity properties.
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