Anne Frühbis Krüger
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math.uni-hannover.deForschung
Singularities
- Algorithmic Desingularization:
- Algorithms and Applications in Characteristic zero
- Experiments and Phenomena in positive Characteristic
- Regular and Canonical Models for Families of Curves over the Integers
- Families of Calabi-Yau Varieties with Singularities
- Classification and Invariants of Singularities:
- Complete Intersections
- Cohen-Macaulay Case
- Determinantal Singularities
Applications of Gröbner Bases Methods
- Geometric Questions arising from Group Theoretical Problems
- Technical Applications
Veröffentlichungen
Artikel
Anne Frühbis-Krüger, Stefan Wewers (2017):
Desingularization of arithmetic surfaces: algorithmic aspects
arXiv: 1701.01390
J. Böhm, A. Frühbis-Krüger (2017):
A smoothness test for higher codimensions, Journal of Symbolic Computation
DOI: 10.1016/j.jsc.2017.05.001
arXiv: 1602.04522
A. Frühbis-Krüger (2016):
On discriminants, Tjurina modifications and the geometry of determinantal singularities
arXiv: 1611.02625
A. Frühbis-Krüger, M. Zach (2015):
On the Vanishing Topology of Isolated Cohen-Macaulay Codimension 2 Singularities
arXiv: 1501.01915
J. Ruge, J. Wegener, A. Frühbis-Krüger, R. Hochmuth (2015): Einstieg in die Ingenieurmathematik aus der Berufspraxis - Unterstützung in Mathematik und fachadäquaten Lernstrategien, F. Caluori, H. Linneweber-Lammerskitten, C. Streit (Hrsg.), Beiträge zum Mathematikunterricht, WTM-Verlag, 776--779 (2015)
A. Frühbis-Krüger (2014):
Desingularization in Computational Applications and Experiments, The Resolution of Singular Algebraic Varieties, 269-284, Clay Math. Proc., 20, Amer. Math. Soc., Providence, RI, 2014
arXiv: 1301.3709
A. Frühbis-Krüger, S. Kadir (2012):
Zeta-Functions for Families of Calabi-Yau n-folds with Singularities, Recent Trends on Zeta Functions in Algebra and Geometry, Contemp. Math. 566, 21-41 (2012)
arXiv: 1102.0518
R. Blanco, A. Frühbis-Krüger (2012):
Desingularization Algorithms: A Comparison from the Practical Point of View, In: Proceedings of the Second CREST-SBM International Conference 'Harmony of Gröbner Bases and the Modern Industrial Society.', 14-25
arXiv: 1109.1655
A. Frühbis-Krüger (2011):
A Modified Coefficient Ideal for Use with the Strict Transform, Journal of Symbolic Computation 46 (2011), 550-560
DOI: 10.1016/j.jsc.2010.10.005
arXiv: 0812.1776
A. Frühbis-Krüger (2010):
A short note on Hauser`s Kangaroo phenomena and weak maximal contact in higher dimensions, J. Singularities 2 (2010), 128 - 142 weitere Informationen
arXiv: 1007.2203
A. Frühbis-Krüger, A. Neumer (2010):
Simple Cohen-Macaulay Codimension 2 Singularities, Comm. in Algebra 38 Issue 2 (2010), 454-495
arXiv: 0808.2439
A. Frühbis-Krüger (2008): Some Remarks on Blowing-Ups in a Computer Algebra System, Computer Science Journal of Moldova 16 (2008), no. 1(46), 15-34
Populärwissenschaftliche Artikel
W. Ebeling, A. Frühbis-Krüger, K. Hulek (2008): Robuste Silberscheiben, Unimagazin, Leibniz Universität Hannover, 1-2/2008, 36-39
Bücher
A. Frühbis-Krüger, R. N. Kloosterman, M. Schütt (Eds.) (2014): Algebraic and Complex Geometry, Springer PROMS 71, xii + 319 p., Springer (2014)