Geodesic
On the dimension of secant varieties
Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1267-1291 Cet article a éte moissonné depuis la source EMS Press

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In this paper we generalize Zak’s theorems on tangencies and on linear normality as well as Zak’s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety X under suitable regularity assumptions on X, and we classify varieties for which the bound is attained.
DOI : 10.4171/jems/229
Classification : 14-XX, 00-XX
Keywords: Higher secant varieties, tangential projections, special varieties 
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     author = {Luca Chiantini and Ciro Ciliberto},
     title = {On the dimension of secant varieties},
     journal = {Journal of the European Mathematical Society},
     pages = {1267--1291},
     year = {2010},
     volume = {12},
     number = {5},
     doi = {10.4171/jems/229},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/229/}
}
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Luca Chiantini; Ciro Ciliberto. On the dimension of secant varieties. Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1267-1291. doi: 10.4171/jems/229

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