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Anne Frühbis Krüger

Institute of Algebraic Geometry
room: g319

phone:+49 511 / 762 - 3592
fax:+49 511 / 762 - 5803
hours:n. V.

Bild von  Anne Frühbis Krüger



  • 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



J. Böhm, A. Frühbis-Krüger (2018): A smoothness test for higher codimensions, Journal of Symbolic Computation Volume 86, 153--165, (2018)
DOI: 10.1016/j.jsc.2017.05.001
arXiv: 1602.04522

A. Frühbis-Krüger (2017): On discriminants, Tjurina modifications and the geometry of determinantal singularities, Topology and its Applications
DOI: 10.1016/j.topol.2017.11.010
arXiv: 1611.02625

Anne Frühbis-Krüger, Lukas Ristau, Bernd Schober (2017): Embedded desingularization for arithmetic surfaces -- toward a parallel implementation
arXiv: 1712.08131

Anne Frühbis-Krüger, Stefan Wewers (2017): Desingularization of arithmetic surfaces: algorithmic aspects
arXiv: 1701.01390

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 more
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

Expository papers

W. Ebeling, A. Frühbis-Krüger, K. Hulek  (2008): Robuste Silberscheiben, Unimagazin, Leibniz Universität Hannover, 1-2/2008, 36-39


A. Frühbis-Krüger, R. N. Kloosterman, M. Schütt (Eds.) (2014): Algebraic and Complex Geometry, Springer PROMS 71, xii + 319 p., Springer (2014)