Contact with linear subspaces

In section 3.2 we consider the varieties of higher order data D X). Their definition is a generalisation of that of D X). We show that only the varieties of third order data of curves and hypersurfaces are well-behaved, i.e. they are locally trivial bundles over the corresponding varieties of second order data with fibre a projective space. In particular D X) is a natural desingularisation of. Then we compute the Chow ring of these varieties. As an enumerative application of the results of chapter 3 we determine formulas for the numbers of second and third order contacts of a smooth projective variety X C Pn with linear subspaces of P. ... 

If N = (n 1), then the number of n — l)th order contacts with 2-codimensional linear subspaces m Pai is... 

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See also in sourсe #XX -- [ , , , , , ]

See also in sourсe #XX -- [ , , , , , ]

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