Curves on Heisenberg invariant quartic surfaces in projective 3-space
(English)Manuscript (preprint) (Other academic)
This paper is about the family of smooth quartic surfaces X P3 that are invariant under the Heisenberg group H2,2. For a very generic X, we show that the Picard number of X is 16 and determine its Picard group. It turns out that a very generic X contains 320 irreducible conics which generate the Picard group of X.
IdentifiersURN: urn:nbn:se:kth:diva-26113OAI: oai:DiVA.org:kth-26113DiVA: diva2:370144
QC 201011152010-11-152010-11-152010-11-15Bibliographically approved