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 Virtual fundamental classes, global normal cones and Fultons canonical classes


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This paper, first written in 1997, aims at a simplified and more elementary construction of algebraic-geometric virtual fundamental classes as defined by Li-Tian and Behrend-Fantechi. We replace the use of Artin stacks in the latter approach by a yoga of cone bundles of possible independent interest. We also observe a formula for virtual fundamental classes involving only the total Chern class of the index bundle and Fultons canonical class of the moduli space.



Author: Bernd Siebert

Source: https://archive.org/



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