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Preprints

Zariski pairs on cubic surfaces
pdf 2024/01/28
computational data

Topology of a complex double plane branching along a real line arrangement
pdf 2024/04/02 (old versions: 2024/02/15, 2024/01/28)

A note on construction of the Leech lattice
pdf
computational data

MordellWeil groups and automorphism groups of elliptic K3 surfaces
pdf 2023/10/19
computational data

Zariski multiples associated with quartic curves
pdf

A note on Quebbemann's extremal lattices of rank 64
pdf
computational data

(joint work with S. Brandhorst)
Automorphism groups of certain Enriques surfaces
pdf
Full table of elliptic fibrations:
pdf
computational data

Computation of automorphism groups of K3 and Enriques surfaces
[For the proceedings of Algebra Symposium, 2019 September, Tohoku University]
pdf

(joint work with S. Brandhorst and S. Rams)
On characteristic polynomials of automorphisms of Enriques surfaces
pdf
computational data

A note on configurations of (2)vectors on Enriques surfaces
pdf
computational data

(joint work with Igor Dolgachev)
15nodal quartic surfaces. Part II: The automorphism group
pdf
computational data

(joint work with Simon Brandhorst)
Borcherds' method for Enriques surfaces
pdf
computational data

(joint work with Davide Cesare Veniani)
Enriques involutions on singular K3 surfaces of small discriminants
pdf
computational data

The elliptic modular surface of level 4 and its reduction modulo 3
pdf
computational data

An even extremal lattice of rank 64
pdf
computational data

Rational double points on Enriques surfaces
pdf
computational data

On Edge's correspondence associated with $\cdot 222$
pdf
computational data

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

Connected components of the moduli of elliptic K3 surfaces
pdf
computational data

(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

Automorphisms of supersingular K3 surfaces and Salem polynomials
pdf
computational data

Holes of the Leech lattice and the projective models of K3 surfaces
pdf
computational data

The automorphism groups of certain singular K3 surfaces and an Enriques surface
pdf
computational data

An algorithm to compute automorphism groups of K3 surfaces
and an application to singular K3 surfaces
pdf
computational data

(joint work with Alex Degtyarev)
On the topology of projective subspaces in complex Fermat varieties
pdf

(joint work with Toshiyuki Katsura and Shigeyuki Kondo)
On the supersingular K3 surface in characteristic 5 with Artin invariant 1
pdf
computational data

The graphs of HoffmanSingleton, HigmanSims, McLaughlin, and the Hermitian curve of
degree 6 in characteristic 5
pdf
computational data

(joint work with Hoang Thanh Hoai)
On BallicoHefez curves and associated supersingular surfaces
pdf

(joint work with S. Kondo)
On certain duality of NeronSeveri lattices of
supersingular K3 surfaces and its application to generic supersingular K3 surfaces
pdf

(joint work with S. Kondo)
The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3
pdf
computational data

A note on rational normal curves totally tangent to a Hermitian variety
pdf

Projective models of the supersingular K3 surface with Artin invariant 1 in characteristic 5
pdf

On Frobenius incidence varieties of linear subspaces over finite fields
pdf

(joint work with N. Takahashi)
Primitivity of sublattices generated by classes of curves on an algebraic surface
pdf

Topology of curves on a surface and latticetheoretic
invariants of coverings of the surface
pdf

Lattice Zariski kples
of plane sextic curves and Zsplitting curves for double plane sextics
pdf

Generalized Zariskivan Kampen theorem and its application
to Grassmannian dual varieties
pdf

(joint work with K. Arima)
Zariskivan Kampen method and transcendental lattices of
certain singular K3 surfaces
pdf

Nonhomeomorphic conjugate complex varieties
pdf

On arithmetic Zariski pairs in degree 6
pdf

Transcendental lattices and supersingular reduction lattices
of a singular K3 surface
pdf

On normal K3 surfaces
pdf

(joint work with Duc Tai Pho)
Unirationality of certain
supersingular K3 surfaces in characteristic 5
pdf

(joint work with DeQi Zhang)
Dynkin diagrams of rank 20 on supersingular K3 surfaces
pdf

(joint work with DeQi Zhang)
Dynkin diagrams of rank 20 on supersingular K3 surfaces
[detailed version with Table, 45 pages]
pdf

(joint work with DeQi Zhang)
On Kummer type construction of supersingular K3 surfaces in characteristic 2
pdf

Singularities of dual varieties in characteristic 2
pdf

Singularities of dual varieties in characteristic 3
pdf

(joint work with DeQi Zhang)
K3 surfaces with ten cusps
pdf

Moduli curves of supersingular K3 surfaces
in characteristic 2 with Artin invariant 2
pdf

Supersingular K3 surfaces in characteristic 2
as double covers of a projective plane
pdf

Supersingular K3 surfaces in odd characteristic and sextic double planes
pdf

Rational double points on supersingular K3 surfaces
pdf

Vanishing cycles, the generalized Hodge Conjecture and Groebner bases
pdf

The fundamental group of the complement of a resultant hypersurface
pdf

Equisingular families of plane curves with many connected components
pdf

Lattices of algebraic cycles
on Fermat varieties in positive characteristics
pdf

Zariski hyperplane section theorem for Grassmannian varieties
pdf

On Zariskivan Kampen Theorem
pdf

On elliptic K3 surfaces
pdf

On elliptic K3 surfaces [with Table, 110 pages]
pdf

(joint work with DeQi Zhang)
Classification of extremal
elliptic K3 surfaces
and fundamental groups of open K3 surfaces
pdf

A note on Zariski pairs
pdf
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