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Schmidt’s Subspace Theorem for Moving Hypersurface Targets in Subgeneral Position in Projective Varieties

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Abstract

Our goal is to give Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position in projective varieties.

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References

  1. Cao, T., Thin, N.V.: Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position with index in algebraic variety. ar**v:2002.06769(2020)

  2. Chen, Z., Ru, M., Yan, Q.: The degenerated second main theorem and Schmidt’s subspace theorem. Science China 7, 1367–1380 (2012)

    Article  MathSciNet  Google Scholar 

  3. Chen, Z., Ru, M., Yan, Q.: Schmidt’s subspace theorem with moving hypersurfaces. Int. Math. Res. Notices 15, 6305–6329 (2015)

    Article  MathSciNet  Google Scholar 

  4. Le, G.: The degenerate Schmidt’s subspace theorem for moving hypersurface targets. ar**v:1706.04878 (2017)

  5. Hindry, M., Silverman, J.: Diophantine Geometry: An Introduction. Springer, New York (2000)

    Book  Google Scholar 

  6. Jelonek, Z.: On effective Nullstellensatz. Invent. Math. 162, 1–17 (2005)

    Article  MathSciNet  Google Scholar 

  7. Le, G.: Schmidt’s subspace theorem for moving hypersurface targets. Int. J. Number Theory 11, 139–158 (2015)

    Article  MathSciNet  Google Scholar 

  8. Masser, D.W., Wüstholz, G.: Fields of large transcendence degree generated by values of elliptic functions. Invent. Math. 72, 407–464 (1983)

    Article  MathSciNet  Google Scholar 

  9. Quang, S.D.: Schmidt’s subspace theorem for moving hypersurfaces in subgeneral position. Int. J. Number Theory 14, 103–121 (2018)

    Article  MathSciNet  Google Scholar 

  10. Ru, M., Vojta, P.: Schmidt’s subspace theorem with moving targets. Invent. Math. 127, 51–65 (1997)

    Article  MathSciNet  Google Scholar 

  11. Son, N.T., Tan, T.V., Thin, N.V.: Schmidt’s subspace theorem for moving hypersurface targets. J. Number. Theory 186, 346–369 (2018)

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work is supported by a NAFOSTED grant of Viet Nam, grant no. 101.04-2018.03.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Giang Le

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  1. Giang Le
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Correspondence to Giang Le.

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Le, G. Schmidt’s Subspace Theorem for Moving Hypersurface Targets in Subgeneral Position in Projective Varieties. Acta Math Vietnam 47, 457–474 (2022). https://doi.org/10.1007/s40306-021-00455-w

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  • DOI: https://doi.org/10.1007/s40306-021-00455-w

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