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- Karin Gatermann, Markus Eiswirth, Anke Sensse
- J. Symb. Comput.
- 2005

- Jan Verschelde, Karin Gatermann, Ronald Cools
- Discrete & Computational Geometry
- 1996

The aim of this paper is to compute all isolated solutions to symmetric polynomial systems. Recently, it has been proved that modelling the sparse structure of the system by its Newton polytopes leads to a computational breakthrough in solving the system. In this paper, it will be shown how the Lifting Algorithm, proposed by Huber and Sturmfels, can be… (More)

- Karin Gatermann, Birkett Huber
- J. Symb. Comput.
- 2002

- K B Gatermann, A Hoffmann, G H Rosenberg, N F Käufer
- Molecular and cellular biology
- 1989

Insertion of a 36-base-pair (bp) synthetic oligonucleotide comprising the sequence 5'-GTAGGT(19N)CTAAT (4N)AG-3' into several different positions within the coding region of the naturally intronless ura4 gene of Schizosaccharomyces pombe leads to an efficiently spliced gene producing a functional product. This suggests that the proper signals within an… (More)

- Karin Gatermann, Andreas Hohmann
- IMPACT Comput. Sci. Eng.
- 1991

«nitted in any form or by any means, ir any information storage and retrieval owner. 5e of an article in this journal indicates V be made for personal or internal use, is consent is given on the condition! i the Copyright Clearance Center, Ina ing beyond that permitted by Sections not extend to other kinds of copying, >r promotional purposes, for creating… (More)

We propose a method to solve some polynomial systems whose equations are invariant by the action of a nite matrix multiplicative group G. It consists of expressing the polynomial equations in terms of some primary invariants 1 , ..., n (e.g. the elementary symmetric polynomials), and one single \primitive" secondary invariant. The primary invariants are a… (More)

- Karin Gatermann
- Appl. Algebra Eng. Commun. Comput.
- 1996

The results from Invariant Theory and the results for semi-invariants and equivariants are summarized in a suitable way for combining with Grr obner basis computation. An algorithm for the determination of fundamental equivariants using projections and a Poincar e series is described. Secondly, an algorithm is given for the representation of an equiva-riant… (More)

DISSERTATION zur Erlangung des akademischen Grades doctor rerum naturalium Dedicated to the memory of KARIN GATERMANN Table 1: List of mathematical symbols C field of complex numbers R field of real numbers Z ring of integer numbers C[x] ring of polynomials with coefficients in the field of complex numbers I ideal I def, tor deformed toric ideal V (I)… (More)