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Register a new userLeopold Kroneckers On Equations of Fifth Degree
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Yonathan Stone
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This is a translation of Kroneckers Uber die Gleichungen funften Grades (On equations of fifth degree), excerpted from the monthly report to the Berlin Academy of Sciences from June 1861.
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We construct a family of birational maps acting on two dimensional projective varieties, for which the growth of the degrees of the iterates is cubic. It is known that this growth can be bounded, linear, quadratic or exponential for such maps acting on two dimensional compact Kahler varieties. The example we construct goes beyond this limitation, thanks to the presence of a singularity on the variety where the maps act. We provide all details of the calculations.
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