Positivity in varieties of maximal Albanese dimension

References

[1] C. Birkenhake and H. Lange, Complex abelian varieties, Grundlehren Math. Wiss. 302, Springer, Berlin 1992. 10.1007/978-3-662-02788-2Suche in Google Scholar

[2] J. A. Chen, O. Debarre and Z. Jiang, Varieties with vanishing holomorphic Euler characteristic, J. reine angew. Math. 691 (2014), 203–227. 10.1515/crelle-2012-0073Suche in Google Scholar

[3] J. A. Chen and C. D. Hacon, Pluricanonical maps of varieties of maximal Albanese dimension, Math. Ann. 320 (2001), 367–380. 10.1007/PL00004478Suche in Google Scholar

[4] J. A. Chen and C. D. Hacon, On the irregularity of the image of the Iitaka fibration, Comm. Algebra 32 (2004), 203–215. 10.1081/AGB-120027861Suche in Google Scholar

[5] O. Debarre, On coverings of simple abelian varieties, Bull. Soc. Math. France 134 (2006), 253–260. 10.24033/bsmf.2508Suche in Google Scholar

[6] L. Ein and R. Lazarsfeld, Singularities of theta divisors and the birational geometry of irregular varieties, J. Amer. Math. Soc. 10 (1997), 243–258. 10.1090/S0894-0347-97-00223-3Suche in Google Scholar

[7] T. Fujita, On Kähler fiber spaces over curves, J. Math. Soc. Japan 30 (1978), no. 4, 779–794. 10.2969/jmsj/03040779Suche in Google Scholar

[8] M. Green and R. Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville, Invent. Math. 90 (1987), 389–407. 10.1007/BF01388711Suche in Google Scholar

[9] M. Green and R. Lazarsfeld, Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc. 4 (1991), 87–103. 10.1090/S0894-0347-1991-1076513-1Suche in Google Scholar

[10] L. Guerra and G. Pirola, On the finiteness theorem for rational maps on a variety of general type, Collect. Math. 60 (2009), no. 3, 261–276. 10.1007/BF03191371Suche in Google Scholar

[11] C. D. Hacon, A derived category approach to generic vanishing, J. reine angew. Math. 575 (2004), 173–187. 10.1515/crll.2004.078Suche in Google Scholar

[12] C. D. Hacon and R. Pardini, On the birational geometry of varieties of maximal Albanese dimension, J. reine angew. Math. 546 (2002), 177–199. 10.1515/crll.2002.042Suche in Google Scholar

[13] D. Huybrechts, Fourier–Mukai transforms in algebraic geometry, Oxford Math. Monogr., Clarendon Press, Oxford 2006. 10.1093/acprof:oso/9780199296866.001.0001Suche in Google Scholar

[14] Z. Jiang, M. Lahoz and S. Tirabassi, On the Iitaka fibration of varieties of maximal Albanese dimension, Int. Math. Res. Not. IMRN 2013 (2013), no. 13, 2984–3005. 10.1093/imrn/rns131Suche in Google Scholar

[15] J. Kollár, Higher direct images of dualizing sheaves. I, Ann. of Math. (2) 123 (1986), 11–42. 10.2307/1971351Suche in Google Scholar

[16] J. Kollár, Higher direct images of dualizing sheaves. II, Ann. of Math. (2) 124 (1986), 171–202. 10.2307/1971390Suche in Google Scholar

[17] J. Kollár, Shafarevich maps and automorphic forms, Princeton University Press, Princeton 1995. 10.1515/9781400864195Suche in Google Scholar

[18] S. Mukai, Duality between D⁢(X) and D⁢(X^) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), 153–175. 10.1017/S002776300001922XSuche in Google Scholar

[19] G. Pareschi and M. Popa, Regularity on abelian varieties I, J. Amer. Math. Soc. 16 (2003), no. 2, 285–302. 10.1090/S0894-0347-02-00414-9Suche in Google Scholar

[20] G. Pareschi and M. Popa, GV-sheaves, Fourier–Mukai transform, and generic vanishing, Amer. J. Math. 133 (2011), 235–271. 10.1353/ajm.2011.0000Suche in Google Scholar

[21] G. Pareschi and M. Popa, Regularity on abelian varieties III: Relationship with generic vanishing and applications, Grassmannians, moduli spaces and vector bundles (Cambridge, MA, 2011), Clay Math. Proc. 14, American Mathematical Society, Providence (2011), 141–167. Suche in Google Scholar

[22] C. Simpson, Subspaces of moduli spaces of rank one local systems, Ann. Sci. Éc. Norm. Supér. (4) 26 (1993), 361–401. 10.24033/asens.1675Suche in Google Scholar