Department of Mathematics

Dr. habil. Christoph Lossen - Publications

  1. G.-M. Greuel, C. Lossen, E. Shustin: Introduction to Singularities and Deformations. Springer Verlag, Berlin, Heidelberg, New York (2006), 476 pages.
  2. W. Decker, C. Lossen: Computing in Algebraic Geometry - A quick start using SINGULAR. Algorithms and Computation in Mathematics 16, Springer Verlag (2006), 327 pages.
  3. C. Lossen, G. Pfister (Eds.): Singularities and Computer Algebra. LMS Lecture Notes 324, Cambridge University Press (2006).

  1. G.-M. Greuel, C. Lossen: Equianalytic and equisingular families of curves on surfaces. Manuscr. Math 91 (1996), 323-342.
  2. G.-M. Greuel, C. Lossen, E. Shustin: New asymptotics in the geometry of equisingular families of curves. Int. Math. Res. Not. 13 (1997), 595-611.
  3. G.-M. Greuel, C. Lossen, E. Shustin: Geometry of families of nodal curves on the blown-up projective plane. Trans. AMS 350 (1998), 251-274.
  4. G.-M. Greuel, C. Lossen, E. Shustin: Plane curves of minimal degree with prescribed singularities. Invent. Math. 133 (1998), 539-580.
  5. C. Lossen: New asymptotics for the existence of plane curves with prescribed singularities. Comm. in Alg. 27 (1999), 3263-3282.
  6. G.-M. Greuel, C. Lossen, E. Shustin: Castelnuovo function, zero-dimensional schemes and singular plane curves. Journ. Alg. Geom. 9 (2000), 663-710.
  7. G.-M. Greuel, C. Lossen, E. Shustin: The variety of plane curves with ordinary singularities is not irreducible. Int. Math. Res. Not. (2001), 543-550.
  8. G.-M. Greuel, C. Lossen: The geometry of families of singular curves. In: D. Siersma et al: Proceedings of the NATO Advanced Study Institute on new developments in singularity theory, Cambridge, UK, July 31-August 11, 2000. Kluwer Academic Publishers (2001), 159-192.
  9. G.-M. Greuel, C. Lossen, M. Schulze: Three algorithms in Algebraic Geometry, Coding Theory, and Singularity Theory. In: C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. Kluwer (2001), 161-194.
  10. C. Lossen: Singular: a computer algebra system. CISE 5, No. 4 (2003), 45-55.
  11. C. Lossen: When does the Hessian determinant vanish identically?. Bull. Brazil. Math. Soc. 35 (1) (2004), 71-82.
  12. T. Keilen, C. Lossen: A new invariant for plane curve singularities. Rendiconti del Seminario Matematico 63 (1) (2005), 15-42.
  13. C. Lossen, G. Pfister: Aspects of Gert-Martin Greuel's Mathematical Work. In: C. Lossen, G. Pfister: Singularities and Computer Algebra. Cambridge University Press (2006), xvii-xxxvi.
  14. C. Lossen, H. Schönemann: 21 years of Singular experiments in mathematics. In: C. Lossen, G. Pfister: Singularities and Computer Algebra. Cambridge University Press (2006), 247-272.
  15. A. Campillo, G.-M. Greuel, C. Lossen: Equisingular deformations of plane curves in arbitrary characteristic. Compositio Mathematica 143 (4) (2007), 829-882.
  16. A. Campillo, G.-M. Greuel, C. Lossen: Equisingular calculations for plane curve singularities. J. Symb. Comp. 42 (2007), 89-114.

  1. C. Lossen: Äquisinguläre Familien von Kurven auf Flächen. Diplomarbeit, Universität Kaiserslautern (1994).
  2. C. Lossen: The geometry of equisingular and equianalytic families of curves on a surface. PhD Thesis, Universität Kaiserslautern (1998).
  3. C. Lossen: Zero-dimensional schemes and families of curves. Habilitationsschrift, Universität Kaiserslautern (2002).

  1. I. Farran, C. Lossen: brnoeth.lib - Computing AG codes and Weierstraß semigroups. Singular library (version 2-0 or newer).
  2. C. Lossen, A. Mindnich: equising.lib - Computing equisingular strata for families of plane curve singularities. Singular library (version 2-0 or newer).
  3. W. Decker, C. Lossen, G. Pfister: sheafcoh.lib - Computing cohomology of coherent sheaves on projective n-space. Singular library (version 3-0 or newer).

  1. A. Frühbis-Krüger, C. Lossen: Introduction to Computer Algebra. Lecture Notes, TU Kaiserslautern (2005).

  1. R. Korn, C. Lossen: Innovative Konzepte von Lehre und Organisation des Mathematikstudiums zwischen Bologna, Anwendung und Internationalität. In: Das Hochschulwesen, 58 (2010) 2, pp. 63-66.