This article is cited in 6 papers

The Euler characteristic of a family of algebraic varieties

I. V. Dolgachev


Abstract: 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.

UDC: 513.015.7

MSC: Primary 14F20, 14D05; Secondary 13B15

Received: 12.10.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 18:2, 303–319

Bibliographic databases:

• 
•