\indexentry{form}{1} \indexentry{simple!point}{1} \indexentry{multiple!point}{2} \indexentry{multiple!curves}{2} \indexentry{isolated!multiple point}{2} \indexentry{infinitely near!points}{2} \indexentry{tacnode}{2} \indexentry{exceptional!curve}{3} \indexentry{surface!with normal singularities}{6} \indexentry{normal!singularities}{6} \indexentry{pinch point}{7} \indexentry{improper double points}{8} \indexentry{surface!with normal singularities}{13} \indexentry{rational!function}{13} \indexentry{linear!pencil}{13} \indexentry{base points}{14} \indexentry{fixed part}{15} \indexentry{irrational pencil, pencil!irrational}{15} \indexentry{index}{15} \indexentry{rational!series}{15} \indexentry{pencil}{15} \indexentry{base point!ofirrational pencil}{16} \indexentry{linear!system}{16} \indexentry{fixed!components}{16} \indexentry{base points}{16} \indexentry{irreducible!linear system}{17} \indexentry{effective genus}{17} \indexentry{characteristic series}{17} \indexentry{net}{18} \indexentry{Bertini's theorems}{19} \indexentry{involution}{20} \indexentry{multiple plane,order!of a multiple plane}{21} \indexentry{branch curve}{21} \indexentry{simple!linear system}{21} \indexentry{exceptional curve}{21} \indexentry{complete linear system,linear system!complete}{22} \indexentry{equivalent curves}{22} \indexentry{complete!linear system}{23} \indexentry{assigned base points}{23} \indexentry{normal!surface}{24} \indexentry{surface!with normal singularities}{26} \indexentry{exceptional curve!of the 1st kind}{32} \indexentry{exceptional curve!of the 2nd kind}{32} \indexentry{Jacobian curves}{39} \indexentry{adjoint surfaces}{63} \indexentry{Enriques surface}{87} \indexentry{Riemann--Roch}{96} \indexentry{numerical genus}{96} \indexentry{Zeuthen--Segre invariant}{161} \indexentry{Enriques|surface}{185} \indexentry{moduli}{196} \indexentry{elliptic!curve}{229} \indexentry{number of moduli}{235} \indexentry{canonical surface}{258} \indexentry{reulgar!surface}{258} \indexentry{elliptic!surface}{258} \indexentry{surface with $p=4$ and $p^{(1)}=6$}{260} \indexentry{number of moduli}{273} \indexentry{number of moduli}{276} \indexentry{fundamental theorem for irregular surfaces}{316} \indexentry{numerical!irregularity}{316} \indexentry{irregularity}{316} \indexentry{geometric!irregularity}{316} \indexentry{ruled surfaces}{417} \indexentry{classification of surfaces}{442} \indexentry{surface!with pencil of elliptic curves}{444} \indexentry{irregular!surfaces}{445} \indexentry{number of moduli}{445}