2 research outputs found
Curves on Heisenberg invariant quartic surfaces in projective 3-space
This paper is about the family of smooth quartic surfaces that are invariant under the Heisenberg group . For a
very general such surface , we show that the Picard number of is 16 and
determine its Picard group. It turns out that the general Heisenberg invariant
quartic contains 320 smooth conics and that in the very general case, this
collection of conics generates the Picard group.Comment: Updated references, corrected typo