An example of liftings with different Hodge numbers

@article{Li2018AnEO,
  title={An example of liftings with different Hodge numbers},
  author={Shizhang Li},
  journal={arXiv: Algebraic Geometry},
  year={2018}
}
  • Shizhang Li
  • Published 29 May 2018
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we exhibit an example of a smooth proper variety in positive characteristic possessing two liftings with different Hodge numbers. 

Integral $p$-adic Hodge filtrations in low dimension and ramification

  • Shizhang Li
  • Mathematics
    Journal of the European Mathematical Society
  • 2022
Given an integral p-adic variety, we observe that if the integral Hodge--de Rham spectral sequence behaves nicely, then the special fiber knows the Hodge numbers of the generic fiber. Applying recent

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