22 citations · 139 across the 37 of their papers we have counts for
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Gabriel morphisms and the computability of Serre quotients with applications to coherent sheaves
Mohamed Barakat, Markus Lange-Hegermann
The purpose of this paper is to develop an efficient computational model for Abelian categories of coherent sheaves over certain classes of varieties. These categories are naturall…
A constructive approach to the module of twisted global sections on relative projective spaces
Mohamed Barakat, Markus Lange-Hegermann
The ideal transform of a graded module is known to compute the module of twisted global sections of the sheafification of over a relative projective space. We introduce a s…
The Differential Counting Polynomial
Markus Lange-Hegermann
The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case. Therefore, w…
The Differential Dimension Polynomial for Characterizable Differential Ideals
Markus Lange-Hegermann
We generalize the differential dimension polynomial from prime differential ideals to characterizable differential ideals. Its computation is algorithmic, its degree and leading co…