Abstract
We undertook this study of affine pencils especially to celebrate the 70th birthday of our good friend C. S. Seshadri. The first named author met Seshadri in Paris in 1958 and had the pleasure of seeing him frequently ever since. We are very happy to say to him: JEEVEMA SHARADAH SHATAM.
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References
S. S. Abhyankar, On the valuations centered in a local domain, American Journal of Mathematics, vol. 78 (1956), pages 321–348.
S. S. Abhyankar, Ramification Theoretic Methods in Algebraic Geometry, Princeton University Press (1959).
S. S. Abhyankar, Tame coverings and fundamental groups of algebraic varieties, Parts I to VI, American Journal of Mathematics, vol. 81 (1959), pages 46–94, vol. 82 (1960), pages 120–178, vol. 82 (1960), pages 179–190, vol. 82 (1960), pages 341–362,, vol. 82 (1960), pages 365–373, vol. 82 (1960), pages 374–388.
S. S. Abhyankar, On the semigroup of a meromorphic curve, Part I, Proceedings of the International Symposium on Algebraic Geometry, Kyoto (1977), pages 240–414.
S. S. Abhyankar, Lectures on Expansion Techniques in Algebraic Geometry, Tata Institute of Fundamental Research, Bombay (1977).
S. S. Abhyankar, Algebraic Geometry for Scientists and Engineers, American Mathematical Society (1990).
S. S. Abhyankar, Galois theory on the line in nonzero characteristic, Bulletin of the American Mathematical Society, vol. 27 (1992), pages 68–133.
S. S. Abhyankar, Some remarks on the jacobian question, Proceedings of the Indian Academy of Sciences, vol. 104 (1994), pages 515–542.
S. S. Abhyankar, Resolution of Singularities of Embedded Algebraic Surfaces, Springer-Verlag (1998).
S. S. Abhyankar, Resolution of singularities and modular Galois theory, Bulletin of the American Mathematical Society, vol. (2001), pages 131–169.
S. S. Abhyankar and A. Assi, Jacobian pairs, Contemporary Mathematics, To Appear.
S. S. Abhyankar, P. Eakin, and W. J. Heinzer, On the uniqueness of the coefficient ring in a polynomial ring, Journal of Algebra, vol. 23 (1972), pages 310–342.
E. Artal-Bartolo, P. Cassou-Nogues, and I. Luengo-Velasco, On polynomials whose fibres are irreducible with no critical points, Mathematische Annalen, vol. 299 (1994), pages 477–490.
E. Bertini. Sui sistemi lineari, Rend. Ist. Lomb. II.s, vol. 15 (1882).
M. D. Pried and M. Jarden, Field Arithmetic, Springer-Velag (1986).
D. Garber and M. Teicher, The fundamental group’s structure of the complement of some configurations of real line arrangements, Complex Analysis and Algebraic Geometry, Edited by T. Peternell and F. O. Schreyer, Walter de Gruyter, Berlin (2000), pages 173–223.
J. Igusa. On a theorem of Lüroth, Mem. Coll. Sci., Univ. Kyoto, Ser. A, vol. 26 (1951), pages 251–253.
H. W. E. Jung, Algebraische Flächen, Hannover (1925).
F. Klein. Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree, Dover Reprint (1956).
A. Lüroth, Beweis eines Satzes über rationale Curven, Math. Annalen, vol. 9 (1875), page 135.
T. Matsusaka, The theorem of Bertini on linear systems in modular fields, Memoirs of the College of Science, University of Kyoto, vol. 26 (1950), pages 51–62.
M. Nagata. Local Rings, Interscience (1962).
M. Nagata. A theorem on valuation rings and its applications, Nagoya Math. Journal, vol. 29 (1967), pages 85–91.
O. Zariski, Pencils on an algebraic variety and a new proof of a theorem of Bertini, Transactions of the American Mathematical Society, vol. 50 (1941), pages 48–70.
O. Zariski, The theorem of Bertini on the variable singular points of a linear system of varieties, Transactions of the American Mathematical Society, vol. 56 (1944), pages 130–140.
O. Zariski, Introduction to the Problem of Minimal Models in the Theory of Algebaic Surfaces, Publication 4 of the Mathematical Society of Japan (1958).
O. Zariski and P. Samuel, Commutative Algebra, Vols I and II, Van Nostrand (1960).
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Abhyankar, S.S., Heinzer, W.J., Sathaye, A. (2003). Translates of Polynomials. In: Lakshmibai, V., et al. A Tribute to C. S. Seshadri. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-11-8_10
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DOI: https://doi.org/10.1007/978-93-86279-11-8_10
Publisher Name: Hindustan Book Agency, Gurgaon
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