Geometry of Totally Real Galois Fields of Degree 4
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| 100 | 1 | |a Kochetkov |D Yu |u Higher School of Economics, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Geometry of Totally Real Galois Fields of Degree 4 |h [Elektronische Daten] |c [Yu. Kochetkov] |
| 520 | 3 | |a We consider a totally real Galois field K of degree 4 as the linear coordinate space ℚ4 ⊂ ℝ4. An element k ∈ K is called strictly positive if all of its conjugates are positive. The set of strictly positive elements is a convex cone in ℚ4. The convex hull of strictly positive integral elements is a convex subset of this cone and its boundary Γ is an infinite union of 3-dimensional polyhedrons. The group U of strictly positive units acts on Γ: the action of a strictly positive unit permutes polyhedrons. Examples of fundamental domains of this action are the object of study in this work. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/3(2015-12-01), 319-326 |x 1072-3374 |q 211:3<319 |1 2015 |2 211 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2608-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Kochetkov |D Yu |u Higher School of Economics, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/3(2015-12-01), 319-326 |x 1072-3374 |q 211:3<319 |1 2015 |2 211 |o 10958 | ||