Journal
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Volume 4, Issue 4, Pages 397-422Publisher
SPRINGER
DOI: 10.1007/s10208-003-0115-9
Keywords
algebraic complexity; secant variety; Segre variety; border rank
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We establish basic techniques for determining the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman, and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.
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