We introduce the notion of ”sub–defective” varieties as those varieties X for which a general tangent space intersects ”too many” other tangent spaces to X. We show that this notion has an unexpected link with the study of varieties with degenerate osculating behavior. Namely we show that sub-defective surfaces are precisely those surfaces whose general osculating space is bi-osculating.
Bocci, C., Chiantini, L. (2005). Triple points imposing triple divisors and the defective hierarchy. In Projective varieties with unexpected properties: a volume in memory of Giuseppe Veronese (pp.35-49). De Gruyter.
Triple points imposing triple divisors and the defective hierarchy
BOCCI, CRISTIANO;CHIANTINI, LUCA
2005-01-01
Abstract
We introduce the notion of ”sub–defective” varieties as those varieties X for which a general tangent space intersects ”too many” other tangent spaces to X. We show that this notion has an unexpected link with the study of varieties with degenerate osculating behavior. Namely we show that sub-defective surfaces are precisely those surfaces whose general osculating space is bi-osculating.
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https://hdl.handle.net/11365/6123
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