Osculating Varieties of Veronese Varieties and Their Higher Secant Varieties
نویسندگان
چکیده
منابع مشابه
Secant Varieties of Segre-veronese Varieties
In this paper we study the dimension of secant varieties of Segre-Veronese varieties P × P embedded by the morphism given by O(1, 2). Given the dimensions m, n, we provide two functions s(m, n) and s(m, n), such that the s secant variety is nondefective, i.e. it has the expected dimension, if s ≤ s(m, n) or s ≥ s(m, n). Finally, we present a conjecturally complete list of defective secant varie...
متن کاملOsculating spaces to secant varieties
We generalize the classical Terracini’s Lemma to higher order osculating spaces to secant varieties. As an application, we address with the so-called Horace method the case of the d-Veronese embedding of the projective 3-space. A.M.S. Math. Subject Classification (2000): 14N05.
متن کاملEquations for secant varieties of Veronese and other varieties
New classes of modules of equations for secant varieties of Veronese varieties are defined using representation theory and geometry. Some old modules of equations (catalecticant minors) are revisited to determine when they are sufficient to give scheme-theoretic defining equations. An algorithm to decompose a general ternary quintic as the sum of seven fifth powers is given as an illustration o...
متن کاملNew Examples of Defective Secant Varieties of Segre-veronese Varieties
We prove the existence of defective secant varieties of three-factor and four-factor Segre-Veronese varieties embedded in certain multi-degree. These defective secant varieties were previously unknown and are of importance in the classification of defective secant varieties of Segre-Veronese varieties with three or more factors.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2007
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2007-021-6