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math.AG2025
K3 surfaces of degree six arising from desmic tetrahedra
Alex Degtyarev, Igor Dolgachev, Shigeyuki Kondo
We study K3 surfaces of degree 6 containing two sets of 12 skew lines such that each line from a set intersects exactly six lines from the other set. These surfaces arise as hyperp…
math.AG2025
Desmic quartic surfaces in arbitrary characteristic
Igor Dolgachev, Shigeyuki Kondo
A desmic quartic surface is a birational model of the Kummer surface of the self-product of an elliptic curve. We recall the classical geometry of these surfaces and study their an…