Quasi-Gorenstein Fano 3-folds with isolated non-rational loci

Shihoko Ishii

Compositio Mathematica (1991)

  • Volume: 77, Issue: 3, page 335-341
  • ISSN: 0010-437X

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Ishii, Shihoko. "Quasi-Gorenstein Fano 3-folds with isolated non-rational loci." Compositio Mathematica 77.3 (1991): 335-341. <http://eudml.org/doc/90077>.

@article{Ishii1991,
author = {Ishii, Shihoko},
journal = {Compositio Mathematica},
keywords = {nonrational loci; quasi-Gorenstein Fano surfaces; minimal model conjecture},
language = {eng},
number = {3},
pages = {335-341},
publisher = {Kluwer Academic Publishers},
title = {Quasi-Gorenstein Fano 3-folds with isolated non-rational loci},
url = {http://eudml.org/doc/90077},
volume = {77},
year = {1991},
}

TY - JOUR
AU - Ishii, Shihoko
TI - Quasi-Gorenstein Fano 3-folds with isolated non-rational loci
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 77
IS - 3
SP - 335
EP - 341
LA - eng
KW - nonrational loci; quasi-Gorenstein Fano surfaces; minimal model conjecture
UR - http://eudml.org/doc/90077
ER -

References

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  1. [B] Brenton, L.: On singular complex surfaces with negative canonical bundle, with applications to singular compactification of C2 and 3-dimensional rational singularities. Math. Ann.248 (1980) 117-134. Zbl0407.14013MR573343
  2. [HW] Hidaka, F. and Watanabe, K.-I.: Normal Gorenstein surfaces with ample anti-canonical divisor. Tokyo J. of Math.4 (1981) 319-330. Zbl0496.14023MR646042
  3. [K1] Kawamata, Y.: The cone of curves of algebraic varieties. Ann. of Math.119 (1984) 603-633. Zbl0544.14009MR744865
  4. [K2] Kawamata, Y.: Crepant blowing ups of 3-dimensional singularities and its application to degenerations of surfaces. Ann. of Math.127 (1988) 93-163. Zbl0651.14005MR924674
  5. [KMM] Kawamata, Y., Matsuda, K. and Matsuki, K.: Introduction to the minimal model problem. In Algebraic Geometry Sendai (Ed. Oda Kinokuniya) Adv. Stu. in Pure Math.10 (North Holland, 1987). Zbl0672.14006MR946243
  6. [M] Mori, S.: Flip theorem and the existence of minimal models for 3-folds. J. Am. Soc. Sci., 1 (1988) 117-253. Zbl0649.14023MR924704
  7. [U] Umezu, Y.: On normal projective surface with trivial dualizing sheaf. Tokyo J. of Math.4 (1981) 343-354. Zbl0496.14025MR646044

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