Log canonical models of elliptic surfaces

  title={Log canonical models of elliptic surfaces},
  author={Kenneth Ascher and Dori Bejleri},
  journal={arXiv: Algebraic Geometry},
  • Kenneth Ascher, Dori Bejleri
  • Published 2016
  • Mathematics
  • arXiv: Algebraic Geometry
  • We give a classification of the log canonical models of elliptic surface pairs consisting of an elliptic fibration, a section, and a weighted sum of marked fibers. In particular, we show how the log canonical models depend on the choice of the weights. We describe a wall and chamber decomposition of the space of weights based on how the log canonical model changes. In addition, we give a generalized formula for the canonical bundle of an elliptic surface with section and marked fibers. This is… CONTINUE READING

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