PUBLICATION LIST of Alexandru DIMCA
A. Articles
- Topologia intersectiilor complete I, Stud. Cerc. Mat. 28 (1976),
635-643.
- Topologia intersectiilor complete II, Stud. Cerc. Mat. 29 (1977), 3-15.
- On the algebraic structures and the automorphism groups of the
nonsingular projective hypersurfaces, Rev. Roum. Math. Pures et Appl. 24
(1979), 545-548.
- Morse functions and stable mappings, Rev. Roum. Math. Pures et Appl. 24
(1979), 1293-1297.
- Two remarks on transversality, Rev. Roum. Math. Pures et Appl. 24
(1979), 1433-1435.
- On the Boardman symbol of a map germ, Rev. Roum. Math. Pures et Appl. 25
(1980), 203-208.
- (with G. Dimca) Two applications of the Thom polynomials, An. Univ.
Timisoara, 20 (1982), 3-6.
- Tangencies of generic real projective hypersurfaces, Math. Scand. 53
(1983), 216-220.
- A geometric approach to the classification of pencils of quadrics, Geom.
Dedicata 14 (1983), 105-111.
- (with C.G. Gibson) On contact germs of the plane, Proc. Symp. Pure Math.
40, Amer. Math. Soc., (1983), 277-282.
- (with C.G. Gibson) Contact unimodular germs from the plane to the plane,
Quart. J. Math. Oxford 34 (1983), 281-295.
- (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.
- Germes des fonctiones definis sur des singularites isolees
d'hypersurfaces, C.R. Acad. Sc. Paris, 297 (1983), 117-120.
- Function germs defined on isolated hypersurfaces singularities,
Compositio Math. 53 (1984), 245-258.
- Are the isolated singularities of complete intersections determined by
their singular subspaces? Math. Ann. 267 (1984), 461-472.
- Sur les singularites isolees d'intersections compleees, C.R. Acad. Sc.
Paris, 299 (1984), 21-24.
- (with R. Rosian) The Samuel stratification of the discriminant is
Whitney regular, Geom. Dedicata, 17 (1984), 181-184.
- Monodromy of functions defined on isolated singularities of complete
intersections, Compositio Math., 54 (1985), 105-119.
- On isolated singularities of complete intersections, J. London Math.
Soc. 31 (1985), 401-406.
- (with C.G. Gibon) Classification of equidimensional contact unimodular
map germs, Math. Scand. 56 (1985), 15-28.
- (with S. Dimiev) On analytic coverings of weighted projective spaces,
Bull. London Math. Soc. 17 (1985), 234-238.
- Monodromy and Betti numbers of weighted complete intersections, Topology
24 (1985), 369-374.
- On the homology and cohomology of complete intersections with isolated
singularities, Compositio Math. 58 (1986) 321-339.
- Singularities and coverings of weighted complete intersections, J. reine
angew. Math. 366 (1986), 184-193.
- Milnor numbers and multiplicities of dual varieties, Rev. Roum. Math.
Pures et Appl. 31 (1986), 535-538.
- (with A.D.R. Choudary) On the dual and hessian mappings of projective
hypersurfaces, Math. Proc. Cambridge Phil. Soc. 101 (1987), 461-468.
- (with M. Tibar) Pull-backs of isolated singularities under analytic
coverings, Rev. Roum. math. Pures et Appl. 32 (1987), 523-530.
- (with A.D.R. Choudary) Hypersurface singularities, codimension two
complete intersections and tangency sets, Geom. Dedicata 24 (1987),
255-260.
- On analytic abelian coverings, Math. Ann. 279 (1988), 501-515.
- On the Milnor fibrations of weighted homogeneous polynomials, Compositio
Math. 76 (1990), 19-47.
- (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.
- On the connectivity of affine hypersurfaces, Topology 29 (1990),
511-514.
- Betti numbers of hypersurfaces and defects of linear systems, Duke Math.
J 60 (1990) 285-298.
- (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.
- 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.
- On the de Rham cohomology of a hypersurface complement, Amer. J. Math.
113 (1991), 763-771.
- (with M. Saito) On the cohomology of a general fiber of a
polynomial map, Compositio Math. 85 (1993), 299-309.
- (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.
- (with A.D.R. Choudary) Koszul complexes and hypersurface singularities,
Proc. Amer. Math. Soc. 121 (1994), 1009-1016.
- (with A.D.R. Choudary) Complex hypersurfaces diffeomorphic to affine spaces, Kodai Math. J. 17(1994), 171-178.
- Residues and cohomology of complete intersections, Duke Math. J.,
78(1995),89-100.
- Hodge numbers of hypersurfaces, Abh. Math. Sem. Hamburg 66(1996),377-386.
- (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.
- (with D.C. Popescu and Hong Yan): A Nonlinear Model for
Fractal Image Coding, IEEE Transactions on Image
Processing, 6(1997), 373-382.
- (with J.A.Hillman and L. Paunescu): On hypersurfaces in real
projective spaces, Far East J. Math. Sci. 5(1997),159-168.
- (with L. Paunescu): Real singularities and dihedral
representations, Matematica Contemporanea 12(1997), 67-82.
- 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.
- (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.
- Invariant cycles for complex polynomials,
Rev. Roumaine Math. Pures et Appli, volume dedicated to the memory of
M. Jurchescu, 43(1998), 113-120.
- Monodromy at infinity for polynomials of two variables, Journal of Algebraic Geometry, 7(1998), 771-779.
- (with P. Cassou-Noguès) Topology of complex polynomials
via polar curves, Kodai Math. J. 22(1999),131-139.
- (with L. Paunescu): On the connectivity of complex affine
hypersurfaces, II, Topology 39(2000), 1035-1043.
- (with F. Maaref, C. Sabbah and M. Saito): Dwork cohomology and
algebraic D-modules, Math. Ann.318(2000)107-125.
- (with Ph. Bonnet): Relative differential forms and complex
polynomials, Bull.Sci. Math. 124(2000), 557-571.
- (with Morihiko Saito): Algebraic Gauss-Manin systems and
Brieskorn modules, Amer.J. Math. 123(2001), 163-184.
- (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.).
- (with A. Némethi): On the monodromy of complex polynomials, Duke Math. J. (to appear).
- (with Morihiko Saito): Monodromy at infinity and weights on cohomology, math.AG/0002214.
- Monodromy and Hodge theory of regular functions, Proceedings of the Summer Institute on Singularities, Newton Institute, Cambridge 2000. (to appear)
- (with S. Papadima): Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements, math.AT/0101246.
B. Monographies
- Topics on Real and Complex Singularities, Vieweg Advanced Lecture in
Mathematics, Friedr. Vieweg und Sohn, Braunschweig, 1987,242+xvii pp.
- Singularities and Topology of Hypersurfaces, Universitext,
Springer Verlag, New York, 1992, 263+xvi pp.