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Showing 1 to 4 of 4 for “"p-torsion"”.
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Iwasawa theory of p-adic Lie extensions
… (due to Serre) is produced by adjoining the p-torsion points of an elliptic curve defined over k without complex multiplication. The strategy consists in considering the Selmer Group or other cohomology groups which 'live' above the p-adic Lie extension as a module over the (non-commutative) …
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Unstable chromatic homotopy theory
… unstable homotopy groups not only have finite p-torsion, their K(2)-local parts also have finite vo-torsion, which indicates there might be a more general finite v-torsion phenomena in the unstable world.
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Explicit division and torsion points on superelliptic Curves and jacobians
… reduces to Zarhin's when n = 2. Next, I study torsion points on superelliptic curves. Work of Coleman [15] and Grant-Shaulis [29] together classifies all torsion points on the hyperelliptic curve y² = x[superscript d] + 1, where d >/= 5 is prime. I extend their results to the superelliptic …
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Covers and invariants of Deligne-Lusztig curves
… project studying the structure of the 3-torsion group scheme of the Jacobian of the smallest Ree curve, which has genus 3627. This is accomplished by computing the action of the Frobenius and Verschiebung operators on the de Rham cohomology of the curve. As a result, we determine the …