Browsing by Subject "Secondary 14J27"
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Item Open Access Lines on quartic surfaces(Springer, 2017) Degtyarev, A.; Itenberg, I.; Sertöz, A.S.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. © 2016, Springer-Verlag Berlin Heidelberg.