Geodesic
The Euler characteristic of a~family of algebraic varieties
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 303-319

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In this paper we derive a formula for the $l$-adic Euler characteristic of a one-parameter family of algebraic varieties. We define an algebraic analog of the local monodromy of isolated singularities of algebraic hypersurfaces, defined in the complex case by Milnor. We discuss various conjectures connected with the definition of the conductor of a family of algebraic varieties. Bibliography: 26 titles. 
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     author = {I. V. Dolgachev},
     title = {The {Euler} characteristic of a~family of algebraic varieties},
     journal = {Sbornik. Mathematics},
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I. V. Dolgachev. The Euler characteristic of a~family of algebraic varieties. Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 303-319. http://geodesic.mathdoc.fr/item/SM_1972_18_2_a9/