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@article{TM_2002_238_a6, author = {A. Dimca and A. N\'emethi}, title = {Thom--Sebastiani {Construction} and {Monodromy} of {Polynomials}}, journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova}, pages = {106--123}, publisher = {mathdoc}, volume = {238}, year = {2002}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TM_2002_238_a6/} }
A. Dimca; A. Némethi. Thom--Sebastiani Construction and Monodromy of Polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 106-123. http://geodesic.mathdoc.fr/item/TM_2002_238_a6/
[1] Artal-Bartolo E., Cassou-Noguès P., Dimca A., “Sur la topologie des polynômes complexes”, Singularities. The Brieskorn anniversary volume, Progr. Math., 162, ed. V. I. Arnold et al., Birkhäuser, Boston etc., 1998, 317–343 | MR | Zbl
[2] Artal Bartolo E., Cassou-Noguès P., Luengo Velasco I., “On polynomials whose fibers are irreducible with no critical points”, Math. Ann., 299:3 (1994), 477–490 | MR | Zbl
[3] Bailly-Maitre G., “Sur le système local de Gauss–Manin d'un polynôme de deux variables”, Bull. Soc. Math. France, 128:1 (2000), 87–101 | MR | Zbl
[4] Birch B., “Noncongruence subgroups, covers and drawings”, The Grothendieck theory of dessins d'enfants, London Math. Soc. Lect. Note Ser., 200, ed. L. Schneps, Cambridge Univ. Press, Cambridge, 1994, 25–46 | MR | Zbl
[5] Bredon G. E., Introduction to compact transformation groups, Acad. Press, New York, 1972 | MR | Zbl
[6] Brieskorn E., “Beispiele zur Differentialtopologie von Singularitäten”, Invent. Math., 2 (1966), 1–14 | DOI | MR | Zbl
[7] Broughton S. A., “Milnor numbers and the topology of polynomial hypersurfaces”, Invent. Math., 92 (1988), 217–241 | DOI | MR | Zbl
[8] Dimca A., Singularities and topology of hypersurfaces, Universitext, Springer, New York etc., 1992 | MR | Zbl
[9] Dimca A., “Monodromy at infinity for polynomials in two variables”, J. Alg. Geom., 7:4 (1998), 771–779 | MR | Zbl
[10] Dimca A., Némethi A., Thom Sebastiani construction and monodromy of polynomials, Preprint No 98. Bordeaux Univ., March 1999 | MR
[11] Dimca A., Némethi A., “On the monodromy of complex polynomials”, Duke Math. J., 108:2 (2001), 199–209 | DOI | MR | Zbl
[12] Dimca A., Păunescu L., “On the connectivity of complex affine hypersurfaces, II”, Topology, 39:5 (2000), 1035–1043 | DOI | MR | Zbl
[13] El Marraki M., Hanusse N., Zipperer J., Zvonkin A., Cacti, braids and complex polynomials, Sém. Lotharingien Combinatoire 37, 1996. 36 p | MR
[14] García López R., Némethi A., “On the monodromy at infinity of a polynomial map, I, II”, Compos. Math., 100:2 (1996), 205–231 ; 115:1 (1999), 1–20 | MR | Zbl | DOI | Zbl
[15] Kaliman Sh., Zaidenberg M., “Affine modifications and affine hypersurfaces with a very transitive automorphism group”, Transform. Groups, 4:1 (1999), 53–95 | DOI | MR | Zbl
[16] Khovanskii A. G., Zdravkovska S., “Branched covers of $S^2$ and braid groups”, J. Knot Theory and Ramif., 5:1 (1996), 55–75 | DOI | MR
[17] Koras M., Russell P., “Contractible threefolds and $\mathbb{C}^*$-actions on $\mathbb{C}^3$”, J. Alg. Geom., 6:4 (1997), 671–695 | MR | Zbl
[18] Kraft H., “Challenging problems on affine $n$-space”, Séminaire Bourbaki, 1994/95, Astérisque, 237, no. 802, 1996, 295–317 | MR | Zbl
[19] Milnor J., “Construction of universal bundles, II”, Ann. Math. Ser. 2, 63 (1956), 430–436 | DOI | MR | Zbl
[20] Némethi A., “Global Sebastiani–Thom theorem for polynomial maps”, J. Math. Soc. Japan, 43:2 (1991), 213–218 | DOI | MR | Zbl
[21] Némethi A., “Generalized local and global Sebastiani–Thom type theorems”, Compos. Math., 80:1 (1991), 1–14 | MR | Zbl
[22] Némethi A., “On the Seifert form at infinity associated with polynomial maps”, J. Math. Soc. Japan, 51:1 (1999), 63–70 | DOI | MR | Zbl
[23] Némethi A., Zaharia A., “On the bifurcation set of a polynomial function and Newton boundary”, Publ. RIMS. Kyoto Univ., 26:4 (1990), 681–689 | DOI | MR | Zbl
[24] Neumann W., Norbury P., “Vanishing cycles and monodromy of complex polynomials”, Duke Math. J., 101:3 (2000), 487–497 | DOI | MR | Zbl
[25] Neumann W., Norbury P., “Unfolding polynomial maps at infinity”, Math. Ann., 318:1 (2000), 149–180 | DOI | MR | Zbl
[26] Pham F., “Vanishing homologies and the $n$ variable saddlepoint method”, Singularities, Part 2 (Arcata, Calif., 1981), Proc. Sympos. Pure Math., 40, Amer. Math. Soc., Providence, RI, 1983, 319–333 | MR
[27] Siersma D., Tibăr M., “Singularities at infinity and their vanishing cycles”, Duke Math. J., 80:3 (1995), 771–783 | DOI | MR | Zbl
[28] Siersma D., Tibăr M., Vanishing cycles and singularities of meromorphic functions, Preprint No 1105. Utrecht Univ., May 1999
[29] Zaidenberg M., Lectures on exotic algebraic structures on affine spaces, Schriftr. Grad. Kollegs Geom. und Math. Phys., 24, Ruhr-Univ. Bochum, 1997 | MR