Higher Secants of Spinor Varieties
Angelini, Elena
Bollettino dell'Unione Matematica Italiana, Tome 4 (2011), p. 213-235 / Harvested from Biblioteca Digitale Italiana di Matematica
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Let Sh be the even pure spinors variety of a complex vector space V of even dimension 2⁢h endowed with a non degenerate quadratic form Q and let σk⁢(Sh) be the k-secant variety of Sh. We decribe an algorithm which computes the complex dimension of σk⁢(Sh). Then, by using an inductive argument, we get our main result: σk⁢(Sh) has the expected dimension except when h∈{7,8}. Also we provide theoretical arguments which prove that S7 has a defective 3-secant variety and S8 has defective 3-secant and 4-secant varieties.

Publié le : 2011-06-01
@article{BUMI_2011_9_4_2_213_0,
     author = {Elena Angelini},
     title = {Higher Secants of Spinor Varieties},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4},
     year = {2011},
     pages = {213-235},
     zbl = {1253.15032},
     mrnumber = {2840603},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2011_9_4_2_213_0}
}

Angelini, Elena. Higher Secants of Spinor Varieties. Bollettino dell'Unione Matematica Italiana, Tome 4 (2011) pp. 213-235. http://gdmltest.u-ga.fr/item/BUMI_2011_9_4_2_213_0/

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