Contractions of smooth varieties. II. Computations and applications

Marco Andreatta; Jarosław A. Wiśniewski

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 2, page 343-360
  • ISSN: 0392-4041

How to cite

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Andreatta, Marco, and Wiśniewski, Jarosław A.. "Contractions of smooth varieties. II. Computations and applications." Bollettino dell'Unione Matematica Italiana 1-B.2 (1998): 343-360. <http://eudml.org/doc/194691>.

@article{Andreatta1998,
author = {Andreatta, Marco, Wiśniewski, Jarosław A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Fano-Mori contractions; exceptional center; complete classification of Fano-Mori contractions of smooth 4-fold},
language = {eng},
month = {6},
number = {2},
pages = {343-360},
publisher = {Unione Matematica Italiana},
title = {Contractions of smooth varieties. II. Computations and applications},
url = {http://eudml.org/doc/194691},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Andreatta, Marco
AU - Wiśniewski, Jarosław A.
TI - Contractions of smooth varieties. II. Computations and applications
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/6//
PB - Unione Matematica Italiana
VL - 1-B
IS - 2
SP - 343
EP - 360
LA - eng
KW - Fano-Mori contractions; exceptional center; complete classification of Fano-Mori contractions of smooth 4-fold
UR - http://eudml.org/doc/194691
ER -

References

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  1. ANDREATTA, M.- WIŚNIEWSKI, J. A., A note on non vanishing and applications, Duke Math. J., 72 (1993), 739-755. Zbl0853.14003MR1253623
  2. ANDREATTA, M.- WIŚNIEWSKI, J. A., A view on contractions of higher dimensional varieties, Algebraic Geometry Santa-Cruz 1995, Proc. of Symp. in Pure Math., Amer. Math. Soc., 62, 153-183. Zbl0948.14014MR1492522
  3. ANDREATTA, M.- WIŚNIEWSKI, J. A., On contractions of smooth varieties, to appear on J. Algeb. Geom. Zbl0966.14012MR1620110
  4. BALLICO, E.- WIŚNIEWSKI, J. A., On Bănică sheaves and Fano manifolds, Compositio Math., 102 (1996), 313-335. Zbl0872.14009MR1401426
  5. GIOVINI, A.- NIESI, G., Computation in Commutative Algebra, version 1.5, Computer Program. 
  6. KOLLÁR, J., Rational Curves on Algebraic Varieties, Ergebnisse der Math., 32 (1995), Springer-Verlag. Zbl0877.14012MR1440180
  7. KAWAMATA, Y.- MATSUDA, K.- MATSUKI, K., Introduction to the minimal model program, in Algebraic Geometry, Sendai, Adv. Studies in Pure Math., 10, Kinokuniya-North-Holland (1987), 283-360. Zbl0672.14006MR946243
  8. MORI, S., Threefolds whose canonical bundles are not numerically effective, Ann. Math., 116 (1982), 133-176. Zbl0557.14021MR662120
  9. SZUREK, M.- WIŚNIEWSKI, J. A., On Fano manifolds which are P k -bundles over P 2 , Nagoya Math. J., 120 (1990), 89-101. Zbl0728.14037MR1086572
  10. TAKAGI, H., On the classification of the extremal contraction from a smooth fourfold, Duke e-print alg-geom/9604013 (1996). 
  11. WILSON, P. M. H., The Kähler cone on Calabi-Yau threefolds, Inv. Math., 107 (1992), 561-583; Erratum, 114 (1993), 231-233. Zbl0794.14016

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