Book Review
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MathSciNet review:
1566962
Full text of review:
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Book Information:
Author:
Kenji Ueno
Title:
Classification theory of algebraic varieties and compact complex spaces
Additional book information:
Lecture Notes in Math., no. 439, Springer-Verlag, Berlin, Heidelberg, New York, 1975, 278 + xix pp., $12.10.
M. Artin and D. Mumford, Some elementary examples of unirational varieties which are not rational, Proc. London Math. Soc. (3) 25 (1972), 75–95. MR 321934, DOI 10.1112/plms/s3-25.1.75
Enrico Bombieri and Dale Husemoller, Classification and embeddings of surfaces, Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974) Amer. Math. Soc., Providence, R.I., 1975, pp. 329–420. MR 0506292
C. Herbert Clemens and Phillip A. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2) 95 (1972), 281–356. MR 302652, DOI 10.2307/1970801
V. A. Iskovskih and Ju. I. Manin, Three-dimensional quartics and counterexamples to the Lüroth problem, Mat. Sb. (N.S.) 86(128) (1971), 140–166 (Russian). MR 0291172
Shoshichi Kobayashi and Takushiro Ochiai, Meromorphic mappings onto compact complex spaces of general type, Invent. Math. 31 (1975), no. 1, 7–16. MR 402127, DOI 10.1007/BF01389863
David Mumford, Curves and their Jacobians, University of Michigan Press, Ann Arbor, Mich., 1975. MR 0419430
7. U. Persson, Ph.D. thesis, Harvard Univ., Cambridge, Mass.
L. Roth, Algebraic threefolds, with special regard to problems of rationality, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 6, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955. MR 0076426
9. J. Shah, Ph.D. thesis, Mass. Inst. Tech., Cambridge, Mass.
A. N. Tjurin, Five lectures on three-dimensional varieties, Uspehi Mat. Nauk 27 (1972), no. 5, (167), 3–50 (Russian). MR 0412196
- 1.
- M. Artin and D. Mumford, Some elementary examples of unirational varieties which are not rational Proc. London Math. Soc. (3) 25 (1972), 75-95. MR 48 #299. MR 0321934
- 2.
- E. Bombieri and D. Husemoller, Classification and embeddings of surfaces, Proc. Sympos. Pure Math., vol. 29, Amer. Math. Soc., Providence, R. I., 1975, pp. 329-420. MR 506292
- 3.
- C. H. Clemens and P. A. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2) 95 (1972), 281-356. MR 46 # 1796. MR 302652
- 4.
- V. A. Iskovskih and Ju. I. Manin, Three-dimensional quartics and counterexamples to the Lüroth problem, Mat. Sb. 86 (128) (1971), 140-166 = Math. USSR Sbornik 15 (1971), 141-166. MR 45 #266. MR 291172
- 5.
- S. Kobayashi and T. Ochiai, Meromorphic mappings onto compact complex spaces of general type, Invent. Math. 31 (1975), fasc. 1, 7-16. MR 402127
- 6.
- D. Mumford, Curves and their Jacobians, The Univ. of Michigan Press, Ann Arbor, 1975. MR 419430
- 7.
- U. Persson, Ph.D. thesis, Harvard Univ., Cambridge, Mass.
- 8.
- L. Roth, Algebraic threefolds with special regard to problems of rationality, Springer-Verlag, Berlin, 1955. MR 17, 897. MR 76426
- 9.
- J. Shah, Ph.D. thesis, Mass. Inst. Tech., Cambridge, Mass.
- 10.
- A. N. Tyurin, Five lectures on three-dimensional varieties, Uspehi Mat. Nauk 27 (1972), no. 5 (167), 3-50 = Russian Math. Surveys 27 (1972), no. 5, 1-53. MR 412196
Review Information:
Reviewer:
Gayn B. Winters
Journal:
Bull. Amer. Math. Soc.
83 (1977), 344-349
DOI:
https://doi.org/10.1090/S0002-9904-1977-14258-4