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Lines on quartic surfaces

Research paper by Alex Degtyarev, Ilia Itenberg, Ali Sinan Sertöz

Indexed on: 16 Jan '16Published on: 16 Jan '16Published in: Mathematics - Algebraic Geometry



Abstract

We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all quartics containing more than 52 lines: all such quartics are projectively rigid. Any value not exceeding 52 can appear as the number of lines of an appropriate quartic.