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Models of Triple Covers

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References

  1. J.-L. Colliot-Thélène, N. A. Karpenko, and A. S. Merkurjev, “Rational surfaces and the canonical dimension of the group PGL6,” Algebra i Analiz 19(5), 159–178 (2007).

    Google Scholar 

  2. M. Blunk, “Del Pezzo surfaces of degree 6 over an arbitrary field,” J. Algebra 323(1), 42–58 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. N. Addington, B. Hassett, Yu. Tschinkel, and A. Várilly-Alvarado, Cubic Fourfolds Fibered in Sextic del Pezzo Surfaces, http://arxiv.org/abs/1606.05321 (2016).

  4. A. Kuznetsov, Derived Categories of Families of Sextic del Pezzo Surfaces, http://arxiv.org/abs/1708.00522 (2017).

  5. P. du Val, “On triple planes having branch curves of order not greater than twelve,” J. London Math. Soc. 8(3), 199–206 (1933).

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Miranda, “Triple covers in algebraic geometry,” Amer. J. Math. 107(5), 1123–1158 (1985).

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Tokunaga, “Triple coverings of algebraic surfaces according to the Cardano formula,” J. Math. Kyoto Univ. 31(2), 359–375 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  8. S. -L. Tan, “Triple covers on smooth algebraic varieties,” in Geometry and Nonlinear Partial Differential Equations (Hangzhou, 2001) (Amer. Math. Soc., Providence, RI, 2002), pp. 143–164.

    Google Scholar 

  9. T. Shirane, “A note on normal triple covers over P 2 with branch divisors of degree 6,” Kodai Math. J. 37(2), 330–340 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  10. O. Zariski, “On the problem of existence of algebraic functions of two variables possessing a given branch curve,” Amer. J. Math. 51(2), 305–328 (1929).

    Article  MathSciNet  MATH  Google Scholar 

  11. T. Shirane, “On 4-fold covers of algebraic surfaces,” Kyushu J. Math. 64(2), 297–322 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  12. A. Grothendieck, Revêtements étales et groupe fondamental (SGA 1) (Springer-Verlag, Berlin, 1971).

    MATH  Google Scholar 

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Correspondence to A. Kresch or Yu. Tschinkel.

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Russian Text © The Author(s), 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 5, pp. 798–800.

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Kresch, A., Tschinkel, Y. Models of Triple Covers. Math Notes 105, 795–797 (2019). https://doi.org/10.1134/S000143461905016X

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