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Tangential projections and secant defective varieties
Author(s) -
Muñoz Roberto,
Sierra José Carlos,
Conde Luis E. Solá
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm098
Subject(s) - mathematics , embedding , degenerate energy levels , pure mathematics , point (geometry) , projective test , mathematical analysis , geometry , artificial intelligence , physics , quantum mechanics , computer science
Going one step further in Zak's classification of Scorza varieties with secant defect equal to one, we characterize the Veronese embedding of ℙ n given by the complete linear system of quadrics and its smooth projections from a point, as the only smooth irreducible complex and non‐degenerate projective subvarieties of ℙ N that can be projected isomorphically into ℙ 2 n when N ⩾ (n + 22) − 2 .