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. 
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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…

References

SHOWING 1-6 OF 6 REFERENCES
Quotient curves of the Suzuki curve
A systematic study of the genera and plane models of quotient curves of the Suzuki curve y 2s+1 − y = x2s(x22s+1 − x), s ∈ N, is carried out.
Relèvements modulop2 et décomposition du complexe de de Rham
Principles of Algebraic Geometry
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications…
Classes d'isogénie des variétés abéliennes sur un corps fini (d'après T. Honda)
Serre-tate local moduli
Lusztig. Representations of reductive groups over finite fields
  • Ann. of Math. (2),
  • 1976