From the 1 of 4 linked papers with an AI index.
4 papers
Lines on K3-sextics with simple singularities
Alex Degtyarev, SÅawomir Rams
The paper classifies configurations of at least 36 lines on complex K3 sextic surfaces with only A‑D‑E singularities, studies related birational automorphism groups, and shows such…
Periodic sharpness of Miyaoka's bound for smooth rational curves
Alex Degtyarev, SÅawomir Rams
We determine the maximal number of smooth rational degree d curves on a complex K3-surface of degree 2n provided n is sufficiently large as compared to d>1. We obtain precise chara…
On large configurations of lines on quartic surfaces
Alex Degtyarev, SÅawomir Rams
We estimate the number of lines on a non-K3 quartic surface. Such a surface with only isolated double point(s) contains at most twenty lines; this bound is attained by a unique con…
Miyaoka's bound for conics on K3 surfaces and beyond
SÅawomir Rams, Matthias Schütt
We show that Miyaoka's bound for the number of conics on a degree-2h K3 surface is attained for high h, and analogously for higher even degree (smooth) rational curves.