On the Griffiths-Harris conjecture on varieties with degenerate Gauss mappings

1999/08/16 by Maks A. Akivis, M. A. Akivis, Vladislav V. Goldberg +5
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Conjecture #Degenerate energy levels #Differential Geometry (math.DG) #FOS: Mathematics #Gauss #Geology #Mathematics #Physics #Polynomial and algebraic computation #Projective test #Pure mathematics #Quantum mechanics #Tensor decomposition and applications #Type (biology) #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/9908079

3 pages

openalex publication_date 1999/08/16 · arxiv created 2001/01/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We exhibit examples of projective varieties with degenerate Gauss mappings and determine numerical invariants of such varieties. Our examples provide counter-examples to an asserted structure theorem of Griffiths and Harris (Ann. Sci. ENS 1979).

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