op" width=4 background="images/shadow.gif">    

Arnfinn Laudal

Email: arnfinnL@sms.edu.pk

Course: Algebra and Algebraic Geometry

Publications

References

Some papers on homological algebra.

-Sur la limite projective et la theorie de la dimension. I,II. Seminaire Ehresmann, Paris 1961.
-Cohomologie et homologie pour les ensembles ordonns. Loc.cit. 1962.
-Cohomologie locale. Applications. Math.Scand. 12,1963.
-Sur les limites projectives et inductives. Ann.Sci.Ecole Normale Sup., Paris t.82. 1965.
-Projective systems on trees and valuation theory. Canadian J. of Math. vol.20, 1968.
-Convergence of spectral sequences. See Saul Lubkins book on the subject.

Papers on algebraic geometry, deformation theory and singularities..

-Cohomology of various completions of quasicoherant sheaves on anes. Proc.Nat.Acad.Sci.U.S.A. vol.69,no9,1972
-A generalized tri-secant lemma. Algebraic Geometry.Proceedings Troms 1977, Lecture Notes in Mathematics, Springer Verlag no.687.
-(with Knud Lnsted) Deformations of curves I. Moduli for hyperelliptic curves. Loc.cit.
-Monograph: Formal moduli of algebraic structures. Lecture Notes in Mathematics no.754, Springer Verlag, 1979.
-(with A.Sletsje) Betti numbers of monoid algebras. Applications to 2-dimensional torus imbeddings. Math.Scand.56, 1985.
-(with B.Martin and G.P ster) Moduli of irreducible plane curve singularities with the semigroup <a,b>. Proceedings of the Conference on Algebraic Geometry, Berlin 1985, Teubner-Texte zur Mathematik Band 92.
-Matric Massey products and formal moduli. Algebra, algebraic topology and their interactions. Lecture Notes in Mathematics no.1183, Springer Verlag 1986.
-(with B.Martin and G.P ster) Moduli of plane curve singularities with C*-action. Singularities. Banach Center Publications, vol.20, 1988 . {Monograph: (with G.Pfister): Local Moduli and Singularities. Lecture Notes in Mathematics no.1310, Springer Verlag 1988.
-(with H.Bjar) Deformations of Lie algebras and Lie algebras of deformations. Comp. Math.75:69-111,1990.

Papers onnon-commutative algebraic geometry, deformation theory and mathemat ical Physics.

-Noncommutative algebraic geometry, Max-Planck-Institute fr Mathematik, Preprint Series 2000 (115)
-Noncommutative deformations of modules. Special Issue in Honor of Jan-Erik Roos, Homology, Homotopy, and Applications, Ed. Hvedri Inassaridze. International Press, (2002), pp.1-60.
-Noncommutative algebraic geometry : Proceedings of the International Conference in honor of Prof. Jos Luis Vicente Cordoba, Sevilla 2001. Revista Matematica Iberoamericana.19( 2003), 1-72.
- The structure of Simpn(A). Proceedings of NATO Advanced Research Workshop, Computational Commutative and Non-
Commutative Algebraic Geometry. Chisinau, Moldova, June 2004.
- Time-space and Space-times.
- Conference on Noncommutative Geometry and Representatioon Theory in Mathematical Physics. Karlstad, 5-10 July 2004. Ed. Jurgen Fuchs, et al. American Mathematical Society, Contemporary Mathematics, Vol. 391, 2005. ISSN: 0271-4132.
-Phase Spaces and Deformation Theory. Preprint, Institut Mittag-Leer, 2006-07.
-Geometry of Time-spaces.
Preprint, Institut Mittag-Leer, 2006-07.
Books. -Editor for Proceedings of the Sophus Lie Memorial Conference, Oslo 1992.
Scandinavian University Press.
-Author for Norsk biogra sk leksikon.
Kunnskapsforlaget, Oslo.2000.
-Articles in e.g. NRK, Program 2. Verdt vite. Oslo 2000.
-Editor for The Legacy of Niels Henrik Abel.
Springer 2003.