Przeglądaj według autora "Kabat, Jakub"
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Line arrangements in algebraic terms
Kabat, Jakub (2020-11-19)The present PhD thesis is devoted to line arrangements in the complex projective plane considered in the context of contemporary algebraic problems. By a line arrangement we understand a finite set of pairwise distinct ... -
Several observations about Maneeals - a peculiar system of lines
Dasari, Naga Vijay Krishna; Kabat, Jakub (2016)For an arbitrary triangle $ABC$ and an integer $n$ we define points $D_n$, $E_n$, $F_n$ on the sides $BC$, $CA$, $AB$ respectively, in such a manner that \[\frac{|AC|^n}{{|AB|}^n} = \frac{|CD_n|}{|BD_n|}, \frac{|AB|^ ...