Corpus ID: 202540458

Virtual fundamental classes of derived stacks I

@article{Khan2019VirtualFC,
  title={Virtual fundamental classes of derived stacks I},
  author={A. Khan},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}
  • A. Khan
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Geometry
  • We construct the etale motivic Borel-Moore homology of derived Artin stacks. Using a derived version of the intrinsic normal cone, we construct fundamental classes of quasi-smooth derived Artin stacks and demonstrate functoriality, base change, excess intersection, and Grothendieck-Riemann-Roch formulas. These classes also satisfy a general cohomological Bezout theorem which holds without any transversity hypotheses. The construction is new even for classical stacks and as one application we… CONTINUE READING
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