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The intersection of cyclic Kummer extensions with cyclotomic extensions
cyclic Kummer extensions cyclotomic extensions Number Theory
2011/9/19
Abstract: We study to which extent cyclic Kummer extensions can be contained in a cyclotomic extension. Let K be a field, and consider an extension of K of the form K(z_m, sqrt[n]{a}) where a is in K,...
The overarching finite symmetry group of Kummer surfaces in the Mathieu group M_24
Kummer surfaces Mathieu group High Energy Physics - Theory Algebraic Geometry
2011/10/9
Abstract: We construct a bijection between the full integral homology lattice of K3 and a Niemeier lattice, which is simultaneously compatible with the finite symplectic automorphism groups of several...
We classify compact K\"ahler manifolds $M$ of dimension $n\geq 3$ on which acts a lattice of an almost simple real Lie group of rank $\geq n-1$. This provides a new line in the so-called Zimmer progr...
Two-valued groups, Kummer varieties and integrable billiards
Two-valued groups Kummer varieties integrable billiards
2010/11/18
A natural and important question of study two-valued groups associated with hyperelliptic Jacobians and their relationship with integrable systems is motivated by seminal examples of relationship bet...
Seminar Notes on Open Questions in Iwasawa Theory - SNOQIT I: The $\Lambda[ G ]$-modules of Iwasawa theory II: Units and Kummer theory in Iwasawa extensions
11R23 Iwasawa Theory 11R27 Units
2010/12/9
For = Zp[[T ]], the ring of formal power series in one variable, the structure of the finitely generated - torsion modules is a main concern of Iwasawa theory. In this first part of Snoqit1 we inv...