The structure of algebraic threefolds: an introduction to Mori's program
Author:
János Kollár
Journal:
Bull. Amer. Math. Soc. 17 (1987), 211273
MSC (1985):
Primary 1402, 14E30, 14E35, 32J25, 14J10, 14J15, 14E05, 14J30
MathSciNet review:
903730
Fulltext PDF
References 
Similar Articles 
Additional Information

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C. L. Siegel, Topics in complex function theory. I, II, III, WileyInterscience, 1969. A beautiful introduction to the analytic theory of Riemann surfaces.

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C. H. Clemens, Curves on threefolds, the AbelJacobi mapping, Proc. Sympos. Pure Math. (Algebraic Geometry, Bowdoin College, 1985), Amer. Math. Soc., to appear. Detailed study of the geometry of special threefolds. (The other point of view from Chapter 8.)

Yujiro
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Shigefumi
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(87m:14038), http://dx.doi.org/10.1112/blms/19.1.1
 C. H. Clemens, A scrapbook of complex curve theory, Plenum Press, 1980. Elementary, unusual, and beautiful introduction to curves. MR 614289
 W. Fulton, Algebraic curves, W. A. Benjamin, 1969. Leisurely algebraic introduction to curves. MR 313252
 D. Mumford, Algebraic geometry I: Complex projective varieties, Springer, 1976. Using a little commutative algebra, this is the fastest way to interesting theorems. Part II does not exist. MR 453732
 M. Reid, Undergraduate algebraic geometry, London Math. Soc. Texts in Math. (to appear). The most elementary introduction to the general theory. MR 982494
 I. R. Shafarevich, Basic algebraic geometry, Springer, 1977. Parts I and II provide a peaceful algebraic introduction. Part III is an essentially independent glimpse at compact complex manifolds. MR 1287418
 C. L. Siegel, Topics in complex function theory. I, II, III, WileyInterscience, 1969. A beautiful introduction to the analytic theory of Riemann surfaces.
 W. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Springer, 1984. Comprehensive and elegant treatment of surfaces. MR 749574
 P. Griffiths and J. Harris, Principles of algebraic geometry, WileyInterscience, 1978. A long and thorough introduction to the analytic theory of algebraic varieties. MR 507725
 R. Hartshorne, Algebraic geometry, Springer, 1977. This is the standard algebraic introduction. MR 463157
 K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., vol. 439, Springer, 1975. An overview prior to Mori's work. MR 506253
 C. H. Clemens, Curves on threefolds, the AbelJacobi mapping, Proc. Sympos. Pure Math. (Algebraic Geometry, Bowdoin College, 1985), Amer. Math. Soc., to appear. Detailed study of the geometry of special threefolds. (The other point of view from Chapter 8.)
 Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Adv. Studies in Pure Math., Sendai, to appear. Comprehensive survey, aimed at experts. MR 946243
 S. Mori, Classification of higherdimensional varieties, Proc. Sympos. Pure Math. (Algebraic Geometry, Bowdoin College, 1985), Amer. Math. Soc., to appear. Mostly about results not encompassed by Mori's program. MR 927961
 M. Reid, Tendencious survey of 3 folds, Proc. Sympos. Pure Math. (Algebraic Geometry, Bowdoin College, 1985), Amer. Math. Soc., to appear. Mostly philosophy and jokes. Recommended for algebraic geometers. MR 927962
 M. Reid, Young person's guide to canonical singularities, Proc. Sympos. Pure Math. (Algebraic Geometry, Bowdoin College, 1985), Amer. Math. Soc., to appear. Excellent introduction to threedimensional terminal singularities. MR 927963
 P. M. H. Wilson, Towards birational classification of algebraic varieties, Bull. London Math. Soc. 19 (1987), 148. Detailed survey aimed at the general algebraic geometer. MR 865038
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DOI:
http://dx.doi.org/10.1090/S027309791987155480
PII:
S 02730979(1987)155480
