A Compactification of Open Varieties

Yi Hu

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A Compactification of Open Varieties

Yi Hu

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Abstract

In this paper we show a general method to compactify certain open varieties by adding normal crossing divisors. This is done by proving that {\it blowing up along an arrangement of subvarieties} can be carried out. Important examples such as Ulyanov's configuration spaces, spaces of holomorphic maps, etc., are covered. Intersection ring and (non-recursive) Hodge polynomails are computed. Further general structures arising from the blowup process are described and studied.

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Yi Hu. 2002-12-10. A Compactification of Open Varieties. https://arxiv.org/abs/math/9910181

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