Characterization of the torsion of the Jacobian of y² = x⁵+Ax and some applications
Tomasz Jędrzejak, Maciej Ulas (2010)
Acta Arithmetica
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Tomasz Jędrzejak, Maciej Ulas (2010)
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We study the Reidemeister torsion and the analytic torsion of the m-dimensional disc in the Euclidean m-dimensional space, using the base for the homology defined by Ray and Singer in [10]. We prove that the Reidemeister torsion coincides with the square root of the volume of the disc. We study the additional terms arising in the analytic torsion due to the boundary, using generalizations of the Cheeger-Müller theorem. We use a formula proved by Brüning and Ma [1], that predicts a new...
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