Bulletin of the American Mathematical Society

MathSciNet review: 1566849
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Book Information:

Authors: S. S. Abhyankar and A. M. Sathaye
Title: Geometric theory of algebraic space curves
Additional book information: Lecture Notes in Mathematics, no. 423, Springer-Verlag, Berlin, Heidelberg, New York, 1974, xiv+302 pp., $11.50.

[G1] A. Grothendieck, Éléments de géométrie algébrique (rédigés avec la collaboration de J. Dieudonné), Inst. Hautes Études Sci. Publ. Math. Nos. 4, 8, 11, 17, 20, 24, 28, 32. MR 29 #1210; 30 #3885; 33 #7330; 36 #177a, b, c; #178.

[G2] A. Grothendieck, Fondements de géométrie algébrique, Collection of talks at the Séminaire Bourbaki.

Mark I. Krusemeyer, Fundamental groups, algebraic $K$-theory, and a problem of Abhyankar, Invent. Math. 19 (1973), 15–47. MR 335522, DOI 10.1007/BF01418849

[L] S. Lefschetz, On certain numerical invariants of algebraic varieties, Trans. Amer. Math. Soc. 22 (1921), 326-363.

M. Pavaman Murthy and Jacob Towber, Algebraic vector bundles over $A^{3}$ are trivial, Invent. Math. 24 (1974), 173–189. MR 422276, DOI 10.1007/BF01390050

[N] M. Noether, Zur Grundlegung der Theorie der Algebraischen Raumcurven, Berlinner Abhandlungen, 1882.

Jean-Pierre Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197–278 (French). MR 68874, DOI 10.2307/1969915

C. S. Seshadri, Triviality of vector bundles over the affine space $K^{2}$, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 456–458. MR 102527, DOI 10.1073/pnas.44.5.456

André Weil, Foundations of Algebraic Geometry, American Mathematical Society Colloquium Publications, Vol. 29, American Mathematical Society, New York, 1946. MR 0023093

Oscar Zariski, Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities, Mathematicians of Our Time, Vol. 2, MIT Press, Cambridge, Mass.-London, 1972. Edited by H. Hironaka and D. Mumford. MR 0505100

[G1] A. Grothendieck, Éléments de géométrie algébrique (rédigés avec la collaboration de J. Dieudonné), Inst. Hautes Études Sci. Publ. Math. Nos. 4, 8, 11, 17, 20, 24, 28, 32. MR 29 #1210; 30 #3885; 33 #7330; 36 #177a, b, c; #178.




[G2] A. Grothendieck, Fondements de géométrie algébrique, Collection of talks at the Séminaire Bourbaki.




[K] M. I. Krusemeyer, Fundamental groups, algebraic K-theory, and a problem of Abhyankar, Invent. Math. 19 (1973), 15-47. MR 49 #303. MR 0335522




[L] S. Lefschetz, On certain numerical invariants of algebraic varieties, Trans. Amer. Math. Soc. 22 (1921), 326-363.




[MT] M. P. Murthy and J. Towber, Algebraic vector bundles over A, Invent. Math. 24 (1973), 173-190. MR 422276




[N] M. Noether, Zur Grundlegung der Theorie der Algebraischen Raumcurven, Berlinner Abhandlungen, 1882.




[S] J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197-278. MR 16, 953. MR 68874




[Sh] C. S. Seshadri, Triviality of vector bundles over the affine space K², Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 456-458. MR 21 #1318. MR 102527




[W] A. Weil, Foundations of algebraic geometry, Amer. Math. Soc. Colloq. Publ., vol. 29, Amer. Math. Soc. Providence, R.I., 1946. MR 9, 303. MR 23093




[Z] O. Zariski, Preface to Vol. I of Oscar Zariski: Collected papers (Mumford and Hironaka, Eds.) M.I.T. Press, Cambridge, Mass., 1972. MR 505100