Hodge numbers of nodal double octics |
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| Authors: | Slawomir Cynk |
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| Institution: | Institute of Mathematics , Jagiellonian University , Ui Reymonta 4, Kraków, 30059, Poland E-mail: cynk@im.uj.edu.pl |
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| Abstract: | Let B be a surface of even degree d in P3 with nodes as the only singular points. In 1] Clemens proved that the topology of the small resolution of the double covering of P3 branched along B depends not only on the number of nodes but also on the so-called defect, a non-negative integer describing their configuration. The aim of this note is to give an elementary proof of the Clemens. result and to present some geometric interpretation of defect. |
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| Keywords: | Double surface node Hodge diamond defect contact surface small resolution |
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