A Special Triangulation of the Junior Simplex with Applications in the Resolution of Singularities

Jesus Tapia Amador

Friday 13th January, 2012 16:00-17:00 Mathematics Building, room 516

Abstract

Given $r, c_1, c_2, c_3$ integers, we can use these numbers to triangulate a junior simplex into $r$ triangles. The triangulation is done very simply in terms of continued fractions and regular tesselations. This talk explains the algorithm to achieve this and how this triangulation relates to the resolution of singularities for a certain kind of affine toric varieties.

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