Lines on quartic surfaces
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- Degtyarev, A., Itenberg, I. & Sertöz, A.S. Math. Ann. (2017) 368: 753. doi:10.1007/s00208-016-1484-0
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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.
Mathematics Subject ClassificationPrimary 14J28 Secondary 14J27 14N25
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