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- W2012317504 abstract "Let V n , d ⊆ P N , for N : = ( n + d n ) − 1 , be the order- d Veronese embedding of P n , X n , d : = T ( V n , d ) ⊆ P N the tangent developable of V n , d , and S s − 1 ( X n , d ) ⊆ P N the s -secant variety of X n , d , i.e. the closure in P N of the union of all ( s − 1 ) -linear spaces spanned by s points of X n , d . S s − 1 ( X n , d ) has expected dimension min { N , ( 2 n + 1 ) s − 1 } . Catalisano, Geramita, and Gimigliano conjectured that S s − 1 ( X n , d ) has always the expected dimension, except when d = 2 , n ⩾ 2 s or d = 3 and n = 2 , 3 , 4 . In this paper we prove their conjecture when n = 2 and n = 3 ." @default.
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- W2012317504 date "2005-06-01" @default.
- W2012317504 modified "2023-09-29" @default.
- W2012317504 title "On the secant varieties to the tangent developable of a Veronese variety" @default.
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- W2012317504 doi "https://doi.org/10.1016/j.jalgebra.2005.03.031" @default.
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