K3 surfaces

Maximizing sextics

The list of maximizing sextics.

Download of the data:

Paper and Table: pdf
(Explanation of the algorithm and the table of maximizing sextics: the algorithm is due to the idea of
A. Degtyarev
On deformations of singular plane sextics.
J. Algebraic Geom. 17 (2008), no. 1, 101-135.)

Elliptic K3 surfaces

The list of pairs of the ADE-type of singular fibers and the torsion of Modell-Weil groups of complex elliptic K3 surfaces

Download of the data:

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

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

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

Rational double points on supersingular K3 surfaces

The complete list of configurations of rational double points with the total Milnor number 21 on supersingular K3 surfaces is given.
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)

Dynkin diagrams of rank $20$ on supersingular $K3$ surfaces (joint work with De Qi Zhang)

The complete list of $R$-supersingular $K3$ primes for Dynkin diagrams $R$ of rank $20$.

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)

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