Secants of Lagrangian Grassmannians

Annali di Matematica Pura ed Applicata

Volumn 190, Issue 4, 2011, Pages 725-739

  Boralevi, Ada ^a   Buczyński, Jarosław ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Lagrangian Grassmannian; Secant varieties; Terracini Lemma

Indexed keywords

EID: 81555220942     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-010-0171-0     Document Type: Article

References (13)

1. n embedded by O(1,2). Exp. Math. 18(3), 369-384 (2009).
2. Abo H., Ottaviani G., Peterson C.: Induction for secant varieties of Segre varieties. Trans. Amer. Math. Soc. 361(2), 767-792 (2009).
3. Abo, H., Ottaviani, G., Peterson, C.: Non-defectivity of Grassmannians of planes. J. Alg. Geom. (To appear) (2009). arXiv: 0901. 2601.
4. Alexander J., Hirschowitz A.: Polynomial interpolation inseveral variables. J. Algebr. Geom. 4(2), 201-222 (1995).
5. Baur K., Draisma J., de Graaf W. A.: Secant dimensions of minimal orbits: Computations and conjectures. Exp. Math. 16(2), 239-250 (2007).
6. Bosma, W., Cannon, J. Playoust, C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24(3-4), 235-265. Computational algebra and number theory (London, 1993). Available for use on-line at http://magma. maths. usyd. edu. au/calc/ (1997).
7. Bourbaki, N.: Éléments de mathématique. Première partie: Les structures fondamentales de l'analyse. Livre II: Algèbre. Chapitre 9: Formes sesquilinéaires et formes quadratiques. Actualités Sci. Ind. no. 1272. Hermann, Paris (1959).
8. Bourbaki, N.: Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines. Actualités Scientifiques et Industrielles, No. 1337. Hermann, Paris (1968).
9. Buczyński, J.: Algebraic Legendrian varieties. Dissertationes Math. (Rozprawy Mat.) 467, 86. PhD thesis, Institute of Mathematics, Warsaw University, 2008 (2009).
10. Catalisano M. V., Geramita A. V., Gimigliano A.: Secant varieties of Grassmann varieties. Proc. Am. Math. Soc. 133(3), 633-642 (2005) (electronic).
11. Landsberg J. M., Manivel L.: Legendrian varieties. Asian J. Math. 11(3), 341-359 (2007).
12. Reid, M.: The complete intersection of two or more quadrics. PhD thesis, Cambridge (1972). http://www. maths. warwick. ac. uk/~miles/3folds/qu. ps.
13. Zak, F. L.: Tangents and secants of algebraic varieties, vol. 127 of Translations of Mathematical Monographs. American Mathematical Society, Providence, RI. Translated from the Russian manuscript by the author (1993).