**Back to Top (Japanese Top Page)**

- Mordell-Weil groups and automorphism groups of elliptic K3 surfaces
- Automorphism groups of certain Enriques surfaces (joint work with Simon Brandhorst)
- On characteristic polynomials of automorphisms of Enriques surfaces (joint work with Simon Brandhorst and SÅ‚awomir Rams)
- A note on configurations of (-2)-vectors on Enriques surfaces
- 15-nodal quartic surfaces. Part II: The automorphism group (joint work with Igor Dolgachev)
- Borcherds' method for Enriques surfaces (joint work with Simon Brandhorst)
- Enriques involutions on singular K3 surfaces of small discriminants (joint work with Davide Cesare Veniani)
- The elliptic modular surface of level 4 and its reduction modulo 3
- Rational double points on Enriques surfaces
- A note on Mirand-Morrison theory
- On an Enriques surface associated with a quartic Hessian surface
- Connected components of the moduli of elliptic K3 surfaces
- On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic (joint work with Tetsuji Shioda)
- Automorphisms of supersingular K3 surfaces and Salem polynomials
- An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces
- The automorphism groups of certain singular K3 surfaces and an Enriques surface
- Dynkin diagrams of rank 20 on supersingular K3 surfaces (joint work with De Qi Zhang)
- On the supersingular K3 surface in characteristic 5 with Artin invariant 1 (joint work with T. Katsura and S. Kondo)
- Automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3 (joint work with S. Kondo)
- On elliptic K3 surfaces
- Rational double points on supersingular K3 surfaces

Paper: pdf

Explanation of the data: pdf

The computational data: CompDataXfg.txt (18.6MB)

Paper: pdf

Full table of elliptic fibrations: pdf

Explanation of the data: pdf

The computational data: compdata.zip (107.3MB)

Paper: pdf

Explanation of the data: pdf

The computational data:

autYrec1.txt

autYrec2.txt

autYrec3.txt

Paper: pdf

Explanation of the data: pdf

The computational data: L10L26compdata2.txt

Paper: pdf

Explanation of the data: pdf

The computational data: 15nodalcompdata.txt

Paper: pdf

Explanation of the data: pdf

The computational data: L10L26compdata.txt

Paper: pdf

Explanation of the data: pdf

The computational data:

NKrecs.txt

Xd3a2b1c2.txt

Xd4a2b0c2.txt

Xd7a2b1c4.txt

Xd8a2b0c4.txt

Xd12a2b0c6.txt

Xd12a4b2c4.txt

Xd15a2b1c8.txt

Xd16a4b0c4.txt

Xd20a4b2c6.txt

Xd24a2b0c12.txt

Xd36a6b0c6.txt

The table of lattices M^{144}_{10,3}, ... N^{0,274}_{10,2048} in Section 3 of the paper. latticetable.pdf (41KB)

Paper: pdf

Explanation of the data: pdf

The computational data:

S0S3.txt

PGU.txt

Borcherds.txt

Enriques.txt

Paper: pdf

Explanation of the data: pdf

The computational data:

discADE.txt

EmbsList.txt

Embs.txt

GramADE.txt

GramL10.txt

PhisList.txt

Phis.txt

SigmasList.txt

Sigmas.txt

Table.txt

zipped file of the folder RDPEnriquesFolder (1.1MB)

Paper: pdf

Explanation of the data: pdf

The computational data: zipped text (36MB)
: zipped folder (37MB)

Paper: pdf

Explanation of the data: pdf

The computational data: text

A note on Mirand-Morrison theory (a simple part of the computation): pdf

Paper: pdf

Explanation of the data: pdf

The computational data: text

Paper: Automorphisms of supersingular K3 surfaces and Salem polynomials pdf

Explanation of the data: pdf

The computational data:

compdataIS0.txt datas for p<100 (18 MB)

sigma10IS17.txt datas for 17000< p<=17389 and sigma=10 (2.6 MB)

compdataIS.zip zip file (Removed from the disc. Available upon request)

Paper: pdf

Automorphism groups of complex elliptic K3 surfaces with Picard number 3 (27 pages. This is an extended version of Section 9 of the paper.) pdf .

Automorphism groups of three singular K3 surfaces: Explanation of the data. pdf

The zip file of the three files: disc11.txt, disc15.txt, disc16.txt
zip (32 MB)

Paper: pdf

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

GramS.txt

ample.txt

AutXa.txt

walls.txt

Invols.txt

EnriquesInvol.txt

NonSympOrder4.txt

hrhodata.txt

SympInvol14.txt

hsigmadata.txt

threeinvols_AutXa.txt

adjacentAutX.txt

Isom.txt

GramL.txt

w0.txt

EmbS.txt

EmbR.txt

EmbZ.txt

GramSZ.txt

prZMat.txt

gensAutZ.txt

DZ0.txt

The zip file zip (0.8MB)

Download of the data:

Paper: pdf (Explanation of the algorithm and the table of the list typeset by TeX. 45 pages)

List: txt (The table of R-supersingular K3 primes in Maple format)

Paper: pdf

Explanation of the data:
"Supersingular K3 surface in characteristic 5: computational data"
pdf

compdataB: txt (file size: 2.4 KB)

compdataChams: txt (file size: 7.8 MB)

compdataKm: txt (file size: 1.6 KB)

Paper: pdf

Explanation of the data: Computational data of the paper "The automorphism group of a supersingular K3 surface with Artin variant 1 in characteristic 3" pdf

compdataAutFQChar3: txt (file size: 1.1 MB)

FQprojautfolder.tar.gz: tar.gz of the FQprojaut and FQprojautS (file size: 274 MB)

Download of the data:

Paper: pdf (Explanation of the algorithm. Certain properties of the list are also presented.)

Paper: pdf (110 pages)

Table: pdf (The table of the list typeset by TeX. 36 pages.)

List: text (The list of all 3693 pairs in plain text format.)

We also presents the complete list of extremal (quasi-)elliptic fibrations on supersingular K3 surfaces.

Download of the data:

Paper: pdf (Explanation of the algorithm and the table of the list typeset by TeX. 31 pages)

List: RDP.txt (The list of geometrically realizable RDP triples in Maple format)

List: Elliptic.txt (The list of geometrically realizable elliptic triples in Maple format)