Transcendental lattices of certain singular K3 surfaces
We compute the transcendental lattices of the singular K3 surfaces belonging to three pencils of K3 surfaces, namely the Ap\'ery-Fermi pencil with transcendental lattice $U\oplus \langle 12 \rangle$, the Verrill's pencil with transcendental lattice $U \oplus \langle 6 \rangle$ and another...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We compute the transcendental lattices of the singular K3 surfaces belonging
to three pencils of K3 surfaces, namely the Ap\'ery-Fermi pencil with
transcendental lattice $U\oplus \langle 12 \rangle$, the Verrill's pencil with
transcendental lattice $U \oplus \langle 6 \rangle$ and another pencil linked
to Verrill's pencil with transcendental lattice $U \oplus \langle 24 \rangle$.
Many corollaries are deduced. For example, some singular K3 surfaces belong to
different pencils or are Kummer surfaces of K3 surfaces of another pencil. |
|---|---|
| DOI: | 10.48550/arxiv.2112.09592 |