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arXiv · 1110.1717

The discriminant and the determinant of a hypersurface of even dimension

Takeshi Saito
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Abstract

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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Takeshi Saito. 2012-02-15. The discriminant and the determinant of a hypersurface of even dimension. https://doi.org/10.1016/j.cplett.2012.05.046

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