Formal neighbourhoods of a toric variety and unirationality of algebraic varieties

Madoka EBIHARA

doi:10.2969/jmsj/04630385

Madoka EBIHARA

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JOURNAL FREE ACCESS

1994 Volume 46 Issue 3 Pages 385-426

DOI https://doi.org/10.2969/jmsj/04630385

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Published: 1994 Received: July 06, 1992 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. Clemens and P. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math., 95 (1972), 281-356.
2) M. Ebihara, On unirationality of threefolds which contain toric surfaces with ample normal bundles, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 39 (1992), 87-139.
3) H. Hironaka and H. Matsumura, Formal functions and formal embeddings, J. Math. Soc. Japan, 20 (1968), 52-82.
4) Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model program, Proc. Sympos. Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math., 10, North-Holland, 1987, pp. 283-360.
5) J. Kollár, Y. Miyaoka and S. Mori, Rationally connected varieties, RIMS, preprint.
6) T. Oda, Convex bodies and algebraic geometry: An introduction to the theory of toric varieties, Springer-Verlag, 1987.
7) Revêtements étales et groupe fondamentale, Lecture Notes in Math., 224, Springer-Verlag.

Right : [1] C. Clemens and P. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math., 95 (1972), 281-356.
[2] M. Ebihara, On unirationality of threefolds which contain toric surfaces with ample normal bundles, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 39 (1992), 87-139.
[3] H. Hironaka and H. Matsumura, Formal functions and formal embeddings, J. Math. Soc. Japan, 20 (1968), 52-82.
[4] Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model program, Proc. Sympos. Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math., 10, North-Holland, 1987, pp. 283-360.
[5] J. Kollár, Y. Miyaoka and S. Mori, Rationally connected varieties, RIMS, preprint.
[6] T. Oda, Convex bodies and algebraic geometry: An introduction to the theory of toric varieties, Springer-Verlag, 1987.
[7] Revêtements étales et groupe fondamentale, Lecture Notes in Math., 224, Springer-Verlag.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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