Abstract
Here we give the geometric foundations of the theory of joins and higher secant varieties.
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References
B. Ådlandsvik, Joins and higher secant varieties, Math. Scand. 62 (1987), 213–222.
B. Ådlandsvik, A characterization of Veronese varieties by higher secant varieties, preprint, Bergen 1984.
B. Ådlandsvik, Varieties with an extremal number of degenerate higher secant varieties, J. Reine Angew. Math. 392 (1988), 16–26.
M. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957), 414-452.
M. Beltrametti, P. Francia and A. J. Sommese, On Reider’s method and higher order embeddings, Duke Math. J. 58 (1989), 425–439.
P. E. Newstead, Rationality of moduli spaces of stable bundles, Math. Ann. 215 (1975), 251–268.
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Ballico, E. Joins and secant varieties of subvarieties of a Grassmannian. Results. Math. 32, 29–36 (1997). https://doi.org/10.1007/BF03322521
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DOI: https://doi.org/10.1007/BF03322521
Key words
- Grassmannian
- joint
- secant variety
- spanning set
- Schubert cycle
- higher secant variety
- vector bundle
- spanned vector bundle
- stable vector bundle