Varieties with P 3 ( X ) = 4 and q ( X ) = dim ( X )

Jungkai Alfred Chen[1]; Christopher D. Hacon[2]

  • [1] Department of Mathematics National Taiwan University No.1, Sec. 4, Roosevelt Road    Taipei, 106, Taiwan
  • [2] Department of Mathematics University of Utah 155 South 1400 East, JWB 233 Salt Lake City Utah 84112-0090, USA

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2004)

  • Volume: 3, Issue: 2, page 399-425
  • ISSN: 0391-173X

How to cite

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Chen, Jungkai Alfred, and Hacon, Christopher D.. "Varieties with $P_3 (X) = 4$ and $q (X)=$ dim $(X)$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.2 (2004): 399-425. <http://eudml.org/doc/84535>.

@article{Chen2004,
affiliation = {Department of Mathematics National Taiwan University No.1, Sec. 4, Roosevelt Road    Taipei, 106, Taiwan; Department of Mathematics University of Utah 155 South 1400 East, JWB 233 Salt Lake City Utah 84112-0090, USA},
author = {Chen, Jungkai Alfred, Hacon, Christopher D.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {399-425},
publisher = {Scuola Normale Superiore, Pisa},
title = {Varieties with $P_3 (X) = 4$ and $q (X)=$ dim $(X)$},
url = {http://eudml.org/doc/84535},
volume = {3},
year = {2004},
}

TY - JOUR
AU - Chen, Jungkai Alfred
AU - Hacon, Christopher D.
TI - Varieties with $P_3 (X) = 4$ and $q (X)=$ dim $(X)$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2004
PB - Scuola Normale Superiore, Pisa
VL - 3
IS - 2
SP - 399
EP - 425
LA - eng
UR - http://eudml.org/doc/84535
ER -

References

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  2. [CH1] J. A. Chen – C. D. Hacon, Characterization of Abelian Varieties, Invent. Math. 143 (2001), 435-447. Zbl0996.14020MR1835393
  3. [CH2] J. A. Chen – C. D. Hacon, Pluricanonical maps of varieties of maximal Albanese dimension, Math. Ann. 320 (2001), 367-380. Zbl1073.14507MR1839768
  4. [CH3] J. A. Chen – C. D. Hacon, On Algebraic fiber spaces over varieties of maximal Albanese dimension, Duke Math. J. 111 (2002), 159-175. Zbl1055.14010MR1876444
  5. [ClH] H. Clemens – C. D. Hacon, Deformations of the trivial line bundle and vanishing theorems, Amer. J. Math. 124 (2002), 769-815. Zbl1101.14016MR1914458
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  8. [Hac] C. D. Hacon, Fourier transforms, generic vanishing theorems and polarizations of abelian varieties, Math. Z. 235 (2000), 717-726. Zbl1041.14019MR1801582
  9. [Hac2] C. D. Hacon, Varieties with P 3 = 3 and q = dim ( X ) , to appear in Math. Nachr. Zbl1073.14049MR2121568
  10. [Hac3] C. D. Hacon, Divisors on principally polarized varieties, Compositio Math. 119 (1999), 321-329. Zbl0980.14031MR1727134
  11. [Hac4] C. D. Hacon, Effective criteria for birational morphisms, J. London Math. Soc. 67 (2003), 337-348. Zbl1058.14020MR1956139
  12. [Hac5] C. D. Hacon, A derived category approach to generic vanishing theorems, to appear in J. Reine Angew. Math. Zbl1137.14012MR2097552
  13. [HP] C. D. Hacon – R. Pardini, On the birational geometry of varieties of maximal albanese dimension, J. Reine Angew. Math. 546 (2002), 177-199. Zbl0993.14005MR1900998
  14. [Ka] Y. Kawamata, Characterization of abelian varieties, Compositio Math. 43 (1981), 253-276. Zbl0471.14022MR622451
  15. [Ko1] J. Kollár, Higher direct images of dualizing sheaves I, Ann. of Math. 123 (1986), 11-42. Zbl0598.14015MR825838
  16. [Ko2] J. Kollár, Shafarevich maps and plurigenera of algebraic varieties, Invent. Math. 113 (1993), 177-215. Zbl0819.14006MR1223229
  17. [HM] D. W. Hahn – D. Miranda, Quadruple covers of algebraic varieties, J. Algebraic Geom. 8 (1999), 1-30. Zbl0982.14008MR1658196
  18. [M] S. Mukai, Duality between D ( X ) and D ( X ^ ) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), 153-175. Zbl0417.14036MR607081
  19. [Pa] R. Pardini, Abelian covers of algebraic varieties, J. Reine Angew. Math. 417 (1991), 191-213. Zbl0721.14009MR1103912

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