The discriminant and the determinant of a hypersurface of even dimension

Details The discriminant and the determinant of a hypersurface of even dimension The discriminant and the determinant of a hypersurface of even dimension

2011-10-08

arxiv.org/abs/1110.1717v2

Mathematics

Algebraic Geometry

20 pages. In V2, there remains only one author. More details are added

Scientific paper

For a smooth hypersurface of even dimension, the quadratic character of the
absolute Galois group defined by the determinant of the l-adic cohomology of
middle dimension is computed via the square root of the discriminant of a
defining polynomial of the hypersurface.

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