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Preprints

  1. A note on construction of the Leech lattice
    pdf
    computational data
  2. Mordell-Weil groups and automorphism groups of elliptic K3 surfaces
    pdf (version 5: 2023/10/19)
    computational data
  3. Zariski multiples associated with quartic curves
    pdf
  4. A note on Quebbemann's extremal lattices of rank 64
    pdf
    computational data
  5. (joint work with S. Brandhorst)
    Automorphism groups of certain Enriques surfaces
    pdf
    Full table of elliptic fibrations: pdf
    computational data
  6. Computation of automorphism groups of K3 and Enriques surfaces
    [For the proceedings of Algebra Symposium, 2019 September, Tohoku University]
    pdf
  7. (joint work with S. Brandhorst and S. Rams)
    On characteristic polynomials of automorphisms of Enriques surfaces
    pdf
    computational data
  8. A note on configurations of (-2)-vectors on Enriques surfaces
    pdf
    computational data
  9. (joint work with Igor Dolgachev)
    15-nodal quartic surfaces. Part II: The automorphism group
    pdf
    computational data
  10. (joint work with Simon Brandhorst)
    Borcherds' method for Enriques surfaces
    pdf
    computational data
  11. (joint work with Davide Cesare Veniani)
    Enriques involutions on singular K3 surfaces of small discriminants
    pdf
    computational data
  12. The elliptic modular surface of level 4 and its reduction modulo 3
    pdf
    computational data
  13. An even extremal lattice of rank 64
    pdf
    computational data
  14. Rational double points on Enriques surfaces
    pdf
    computational data
  15. On Edge's correspondence associated with $\cdot 222$
    pdf
    computational data
  16. On an Enriques surface associated with a quartic Hessian surface
    (version 2020Aug22. The previous version contained a mistake in Theorem 1.6.)
    pdf
    computational data
  17. Connected components of the moduli of elliptic K3 surfaces
    pdf
    computational data
  18. (joint work with Tetsuji Shioda)
    On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic
    pdf
    computational data
  19. Automorphisms of supersingular K3 surfaces and Salem polynomials
    pdf
    computational data
  20. Holes of the Leech lattice and the projective models of K3 surfaces
    pdf
    computational data
  21. The automorphism groups of certain singular K3 surfaces and an Enriques surface
    pdf
    computational data
  22. An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces
    pdf
    computational data
  23. (joint work with Alex Degtyarev)
    On the topology of projective subspaces in complex Fermat varieties
    pdf
  24. (joint work with Toshiyuki Katsura and Shigeyuki Kondo)
    On the supersingular K3 surface in characteristic 5 with Artin invariant 1
    pdf
    computational data
  25. The graphs of Hoffman-Singleton, Higman-Sims, McLaughlin, and the Hermitian curve of degree 6 in characteristic 5
    pdf
    computational data
  26. (joint work with Hoang Thanh Hoai)
    On Ballico-Hefez curves and associated supersingular surfaces
    pdf
  27. (joint work with S. Kondo)
    On certain duality of Neron-Severi lattices of supersingular K3 surfaces and its application to generic supersingular K3 surfaces
    pdf
  28. (joint work with S. Kondo)
    The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3
    pdf
    computational data
  29. A note on rational normal curves totally tangent to a Hermitian variety
    pdf
  30. Projective models of the supersingular K3 surface with Artin invariant 1 in characteristic 5
    pdf
  31. On Frobenius incidence varieties of linear subspaces over finite fields
    pdf
  32. (joint work with N. Takahashi)
    Primitivity of sublattices generated by classes of curves on an algebraic surface
    pdf
  33. Topology of curves on a surface and lattice-theoretic invariants of coverings of the surface
    pdf
  34. Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics
    pdf
  35. Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties
    pdf
  36. (joint work with K. Arima)
    Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces
    pdf
  37. Non-homeomorphic conjugate complex varieties
    pdf
  38. On arithmetic Zariski pairs in degree 6
    pdf
  39. Transcendental lattices and supersingular reduction lattices of a singular K3 surface
    pdf
  40. On normal K3 surfaces
    pdf
  41. (joint work with Duc Tai Pho)
    Unirationality of certain supersingular K3 surfaces in characteristic 5
    pdf
  42. (joint work with De-Qi Zhang)
    Dynkin diagrams of rank 20 on supersingular K3 surfaces
    pdf
  43. (joint work with De-Qi Zhang)
    Dynkin diagrams of rank 20 on supersingular K3 surfaces [detailed version with Table, 45 pages]
    pdf
  44. (joint work with De-Qi Zhang)
    On Kummer type construction of supersingular K3 surfaces in characteristic 2
    pdf
  45. Singularities of dual varieties in characteristic 2
    pdf
  46. Singularities of dual varieties in characteristic 3
    pdf
  47. (joint work with De-Qi Zhang)
    K3 surfaces with ten cusps
    pdf
  48. Moduli curves of supersingular K3 surfaces in characteristic 2 with Artin invariant 2
    pdf
  49. Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane
    pdf
  50. Supersingular K3 surfaces in odd characteristic and sextic double planes
    pdf
  51. Rational double points on supersingular K3 surfaces
    pdf
  52. Vanishing cycles, the generalized Hodge Conjecture and Groebner bases
    pdf
  53. The fundamental group of the complement of a resultant hypersurface
    pdf
  54. Equisingular families of plane curves with many connected components
    pdf
  55. Lattices of algebraic cycles on Fermat varieties in positive characteristics
    pdf
  56. Zariski hyperplane section theorem for Grassmannian varieties
    pdf
  57. On Zariski-van Kampen Theorem
    pdf
  58. On elliptic K3 surfaces
    pdf
  59. On elliptic K3 surfaces [with Table, 110 pages]
    pdf
  60. (joint work with De-Qi Zhang)
    Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
    pdf
  61. A note on Zariski pairs
    pdf

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