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- W2130607279 abstract "Let S be a smooth irreducible algebraic surface over ℂ, H d a Hilbert scheme of 0-dimensional subschemes of length d in S, dim H d = 2d, and Z d ⊂ S × H d a universal family with natural projections (Sxleftarrow{{{tau _d}}}{Z_d}xrightarrow{{{pi _d}}}{H_d}). Fix an arbitrary divisor D on S and denote (varepsilon _D^d = {pi _{d*}}tau _d^*{O_S}(D)). Since π d is a flat finite morphism of degree d, the sheaf e D d is in fact the vector bundle of rank d over H d . We call e D d the standard vector bundle over H d . The problem of computation of its Segre classes is connected with a number of questions of enumerative geometry. In recent times it has got applications to the description of the smooth structure of the 4-manifold underlying S — see [10]." @default.
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- W2130607279 date "1994-01-01" @default.
- W2130607279 modified "2023-09-23" @default.
- W2130607279 title "Standard Bundles on a Hilbert Scheme of Points on a Surface" @default.
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- W2130607279 doi "https://doi.org/10.1007/978-3-322-99342-7_16" @default.
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