On families of K3 surfaces with real multiplication by Bert van Geemen, Matthias Schütt

“…We exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.…”
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Salem numbers of automorphisms of K3 surfaces with Picard number $4$ by Lee, Kwangwoo

Subjects: “…K3 surface…”
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Exact flux vacua, symmetries, and the structure of the landscape by Thomas W. Grimm, Damian van de Heisteeg

“…We find that along certain symmetry loci in moduli space the generically transcendental vacuum conditions become algebraic and can be described using the periods of a K3 surface. On such loci the vacua become dense when we do not bound the flux tadpole, while imposing the tadpole bound yields a small finite landscape of distinct vacua. …”
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Regenerations and applications by Giovanni Mongardi, Gianluca Pacienza

“…Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective $K3$ surfaces. We show that, for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results.…”
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