PUBLICATION LIST of Alexandru DIMCA

A. Articles

  1. Topologia intersectiilor complete I, Stud. Cerc. Mat. 28 (1976), 635-643.
  2. Topologia intersectiilor complete II, Stud. Cerc. Mat. 29 (1977), 3-15.
  3. On the algebraic structures and the automorphism groups of the nonsingular projective hypersurfaces, Rev. Roum. Math. Pures et Appl. 24 (1979), 545-548.
  4. Morse functions and stable mappings, Rev. Roum. Math. Pures et Appl. 24 (1979), 1293-1297.
  5. Two remarks on transversality, Rev. Roum. Math. Pures et Appl. 24 (1979), 1433-1435.
  6. On the Boardman symbol of a map germ, Rev. Roum. Math. Pures et Appl. 25 (1980), 203-208.
  7. (with G. Dimca) Two applications of the Thom polynomials, An. Univ. Timisoara, 20 (1982), 3-6.
  8. Tangencies of generic real projective hypersurfaces, Math. Scand. 53 (1983), 216-220.
  9. A geometric approach to the classification of pencils of quadrics, Geom. Dedicata 14 (1983), 105-111.
  10. (with C.G. Gibson) On contact germs of the plane, Proc. Symp. Pure Math. 40, Amer. Math. Soc., (1983), 277-282.
  11. (with C.G. Gibson) Contact unimodular germs from the plane to the plane, Quart. J. Math. Oxford 34 (1983), 281-295.
  12. (with C.G. Gibson) On the unfolding of the first contact unimodular family of plane to plane map germs, Quart. J. Math. Oxford 34 (1983), 297-304.
  13. Germes des fonctiones definis sur des singularites isolees d'hypersurfaces, C.R. Acad. Sc. Paris, 297 (1983), 117-120.
  14. Function germs defined on isolated hypersurfaces singularities, Compositio Math. 53 (1984), 245-258.
  15. Are the isolated singularities of complete intersections determined by their singular subspaces? Math. Ann. 267 (1984), 461-472.
  16. Sur les singularites isolees d'intersections compleees, C.R. Acad. Sc. Paris, 299 (1984), 21-24.
  17. (with R. Rosian) The Samuel stratification of the discriminant is Whitney regular, Geom. Dedicata, 17 (1984), 181-184.
  18. Monodromy of functions defined on isolated singularities of complete intersections, Compositio Math., 54 (1985), 105-119.
  19. On isolated singularities of complete intersections, J. London Math. Soc. 31 (1985), 401-406.
  20. (with C.G. Gibon) Classification of equidimensional contact unimodular map germs, Math. Scand. 56 (1985), 15-28.
  21. (with S. Dimiev) On analytic coverings of weighted projective spaces, Bull. London Math. Soc. 17 (1985), 234-238.
  22. Monodromy and Betti numbers of weighted complete intersections, Topology 24 (1985), 369-374.
  23. On the homology and cohomology of complete intersections with isolated singularities, Compositio Math. 58 (1986) 321-339.
  24. Singularities and coverings of weighted complete intersections, J. reine angew. Math. 366 (1986), 184-193.
  25. Milnor numbers and multiplicities of dual varieties, Rev. Roum. Math. Pures et Appl. 31 (1986), 535-538.
  26. (with A.D.R. Choudary) On the dual and hessian mappings of projective hypersurfaces, Math. Proc. Cambridge Phil. Soc. 101 (1987), 461-468.
  27. (with M. Tibar) Pull-backs of isolated singularities under analytic coverings, Rev. Roum. math. Pures et Appl. 32 (1987), 523-530.
  28. (with A.D.R. Choudary) Hypersurface singularities, codimension two complete intersections and tangency sets, Geom. Dedicata 24 (1987), 255-260.
  29. On analytic abelian coverings, Math. Ann. 279 (1988), 501-515.
  30. On the Milnor fibrations of weighted homogeneous polynomials, Compositio Math. 76 (1990), 19-47.
  31. (with A.D.R. Choudary) Singular complex surfaces in $P^3$ having the same Z-homology and Q-homotopy type as $P^2$ , Bull. London Math. Soc. 22 (1990) 145-147.
  32. On the connectivity of affine hypersurfaces, Topology 29 (1990), 511-514.
  33. Betti numbers of hypersurfaces and defects of linear systems, Duke Math. J 60 (1990) 285-298.
  34. (with P. Deligne) Filtrations de Hodge et par l'ordre du pole pour les hypersurfaces singulieres, Ann. Sci. Ec. Norm. Sup. 23 (1990), 645-656.
  35. Differential forms and hypersurface singularities, in: Singularity theory and its applications, Vol. I (ed. D. Mond and J. Montaldi), Springer Lecture Notes 1462 (1991), 122-153.
  36. On the de Rham cohomology of a hypersurface complement, Amer. J. Math. 113 (1991), 763-771.
  37. (with M. Saito) On the cohomology of a general fiber of a polynomial map, Compositio Math. 85 (1993), 299-309.
  38. (with G. Barthel) On complex projective hypersurfaces which are cohomology $P^n$ 's , Proceedings of Singularities Conference Lille 1991, ed. J.-P. Brasselet, London Math. Soc. Lecture Note Series 201, 1994.
  39. (with A.D.R. Choudary) Koszul complexes and hypersurface singularities, Proc. Amer. Math. Soc. 121 (1994), 1009-1016.
  40. (with A.D.R. Choudary) Complex hypersurfaces diffeomorphic to affine spaces, Kodai Math. J. 17(1994), 171-178.
  41. Residues and cohomology of complete intersections, Duke Math. J., 78(1995),89-100.
  42. Hodge numbers of hypersurfaces, Abh. Math. Sem. Hamburg 66(1996),377-386.
  43. (with G.I. Lehrer) Purity and equivariant weight polynomials, dans le volume: Algebraic Groups and Lie Groups, editor G.I. Lehrer, Cambridge University Press, 1997.
  44. (with D.C. Popescu and Hong Yan): A Nonlinear Model for Fractal Image Coding, IEEE Transactions on Image Processing, 6(1997), 373-382.
  45. (with J.A.Hillman and L. Paunescu): On hypersurfaces in real projective spaces, Far East J. Math. Sci. 5(1997),159-168.
  46. (with L. Paunescu): Real singularities and dihedral representations, Matematica Contemporanea 12(1997), 67-82.
  47. A sheaf-theoretic view at the topology of polynomials, to appear in: Proceedings of Constantza Algebraic Geometry Conference, 1996, An. St. Univ. Ovidius Constantza, 5(1997), 17-22.
  48. (with E. Artal Bartolo et P. Cassou-Noguès) Sur la topologie des polynômes complexes, in: Brieskorn Festband, Proceedings of the Oberwolfach Singularity Conference 1996, Birkhäuser, editeurs: V.I.Arnold, G.-M. Greuel et J.H.M. Steenbrink, Progress in Math. 162, Birhäauser 1998, pp. 317-343.
  49. Invariant cycles for complex polynomials, Rev. Roumaine Math. Pures et Appli, volume dedicated to the memory of M. Jurchescu, 43(1998), 113-120.
  50. Monodromy at infinity for polynomials of two variables, Journal of Algebraic Geometry, 7(1998), 771-779.
  51. (with P. Cassou-Noguès) Topology of complex polynomials via polar curves, Kodai Math. J. 22(1999),131-139.
  52. (with L. Paunescu): On the connectivity of complex affine hypersurfaces, II, Topology 39(2000), 1035-1043.
  53. (with F. Maaref, C. Sabbah and M. Saito): Dwork cohomology and algebraic D-modules, Math. Ann.318(2000)107-125.
  54. (with Ph. Bonnet): Relative differential forms and complex polynomials, Bull.Sci. Math. 124(2000), 557-571.
  55. (with Morihiko Saito): Algebraic Gauss-Manin systems and Brieskorn modules, Amer.J. Math. 123(2001), 163-184.
  56. (with A. Némethi): Thom Sebastiani construction and monodromy of polynomials, preprint 1998 (to appear in: Proceedings of the INTAS Conference "Monodromy and Differential Equations", Moscow 2000.).
  57. (with A. Némethi): On the monodromy of complex polynomials, Duke Math. J. (to appear).
  58. (with Morihiko Saito): Monodromy at infinity and weights on cohomology, math.AG/0002214.
  59. Monodromy and Hodge theory of regular functions, Proceedings of the Summer Institute on Singularities, Newton Institute, Cambridge 2000. (to appear)
  60. (with S. Papadima): Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements, math.AT/0101246.
B. Monographies
  1. Topics on Real and Complex Singularities, Vieweg Advanced Lecture in Mathematics, Friedr. Vieweg und Sohn, Braunschweig, 1987,242+xvii pp.
  2. Singularities and Topology of Hypersurfaces, Universitext, Springer Verlag, New York, 1992, 263+xvi pp.