Geodesic
The different and discriminant of regular mappings
Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 519-523.

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The different of morphisms of surfaces onto curves is studied. A relationship is established between the discriminant and Euler characteristics of degenerate layers for morphisms without multiple components. 
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     author = {I. V. Dolgachev and A. N. Parshin},
     title = {The different and discriminant of regular mappings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {519--523},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a3/}
}
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I. V. Dolgachev; A. N. Parshin. The different and discriminant of regular mappings. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 519-523. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a3/