Geodesic
Computations with parameters: a~theoretical background
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 219-239

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Consider a computational algebraic problem with the inputs depending on parameters. The aim of the computation is to stratify the variety of parameters such that for each stratum $\mathcal W_\alpha$ the solution of the problem for arbitrary values of parameters from each stratum as function of parameters is computed by the same algebraic formulas depending only on the stratum $\mathcal W_\alpha$. We suggest a model for computations with parameters which is convenient for practical aims and prove a fundamental result for it. 
@article{ZNSL_2015_436_a12,
     author = {A. L. Chistov},
     title = {Computations with parameters: a~theoretical background},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {219--239},
     publisher = {mathdoc},
     volume = {436},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_436_a12/}
}
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A. L. Chistov. Computations with parameters: a~theoretical background. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 219-239. http://geodesic.mathdoc.fr/item/ZNSL_2015_436_a12/