Abstract
We prove the birationality of the 4-canonical map of smooth projective varieties of general type and maximal Albanese dimension.
Similar content being viewed by others
References
Barja, M.A., Lahoz, I., Naranjo, J.C., Pareschi, G.: On the bicanonical map of irregular varieties. 1–20 (2009)
Chen J.A., Hacon C.D.: Pluricanonical maps of varieties of maximal Albanese dimension. Mathematische Annalen 320(2), 367–380 (2001)
Chen J.A., Hacon C.D.: Pluricanonical systems on irregular threefold of general type. Math. Zeit 255, 203–215 (2007)
Green M., Lazarsfeld R.: Higher obstructions to deforming cohomology groups of line bundles. J. Am. Math. Soc. 4, 87–103 (1991)
Jiang, Z.: On varieties of maximal Albanese dimension. September (2009). ArXiv: 0909.4817
Jiang, Z., Lahoz, M., Tirabassi, S.: On the Iitaka fibration of irregular varieties. (2011, in press)
Lazarsfeld R.: Positivity in algebraic geometry I & II, volume 4. Springer, Berlin (2004)
Pareschi G., Popa M.: Regularity on abelian varieties I. J. Am. Math. Soc. 16, 285–302 (2003)
Pareschi, G., Popa, M.: Regularity on abelian varieties III: relationship with Generic Vanishing and applications. In: Proceedings of the Clay Mathematics Institute, 14 (2011, in press) ArXiv:0802.1021
Simpson C.: Subspaces of moduli spaces of rank one local systems. Ann. Sci.Éc. Norm. Sup 26, 361–401 (1993)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tirabassi, S. On the tetracanonical map of varieties of general type and maximal Albanese dimension. Collect. Math. 63, 345–349 (2012). https://doi.org/10.1007/s13348-011-0059-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13348-011-0059-3