Equations for secant varieties via vector bundles

作者: G. Ottaviani , J. M. Landsberg

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摘要: We introduce vector bundle techniques for finding equations of secant varieties. A test is established that determines when a variety an irreducible component the zero set found. also prove induction theorem varieties are not weakly defective, allows one to conclude found s_{r-1}(X) have as s_r(X) it. The illustrated with examples homogeneous give algorithm decompose general ternary quintic sum seven fifth powers.

参考文章(20)
L. Chiantini, C. Ciliberto, Weakly defective varieties Transactions of the American Mathematical Society. ,vol. 354, pp. 151- 178 ,(2001) , 10.1090/S0002-9947-01-02810-0
Giorgio Ottaviani, J. M. Landsberg, Equations for secant varieties to Veronese varieties arXiv: Algebraic Geometry. ,(2010)
D. Cartwright, D. Erman, L. Oeding, Secant varieties of P^2 x P^n embedded by O(1,2) arXiv: Algebraic Geometry. ,(2010) , 10.1112/JLMS/JDR038
J.M. Landsberg, Jerzy Weyman, On secant varieties of compact Hermitian symmetric spaces Journal of Pure and Applied Algebra. ,vol. 213, pp. 2075- 2086 ,(2009) , 10.1016/J.JPAA.2009.03.010
Edoardo Ballico, On the weak non-defectivity of veronese embeddings of projective spaces Open Mathematics. ,vol. 3, pp. 183- 187 ,(2005) , 10.2478/BF02479194
David Eisenbud, Jee Koh, Michael Stillman, Determinantal Equations for Curves of High Degree American Journal of Mathematics. ,vol. 110, pp. 513- ,(1988) , 10.2307/2374621
A. Lanteri, R. Muñoz, Discriminant loci of ample and spanned line bundles Journal of Pure and Applied Algebra. ,vol. 212, pp. 808- 831 ,(2008) , 10.1016/J.JPAA.2007.07.007