Cohomological support loci of varieties of Albanese fiber dimension one

• Autores: Zhi Jiang, Hao Sun
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 367, Nº 1, 2015, págs. 103-119
• Idioma: inglés
• DOI: 10.1090/S0002-9947-2014-05997-7
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • Arnaud Beauville, Complex algebraic surfaces, London Mathematical Society Lecture Note Series, vol. 68, Cambridge University Press, Cambridge,...
  • J.A. Chen, O. Debarre and Z. Jiang, Varieties with vanishing holomorphic Euler characteristic, arXiv:1105.3418, to appear in J. Reine Angew....
  • Mauro C. Beltrametti and Andrew J. Sommese, The adjunction theory of complex projective varieties, De Gruyter Expositions in Mathematics,...
  • Jungkai A. Chen and Christopher D. Hacon, On algebraic fiber spaces over varieties of maximal Albanese dimension, Duke Math. J. 111 (2002),...
  • Jungkai A. Chen and Christopher D. Hacon, Characterization of abelian varieties, Invent. Math. 143 (2001), no. 2, 435–447. MR 1835393, DOI...
  • Jungkai A. Chen and Christopher D. Hacon, Pluricanonical maps of varieties of maximal Albanese dimension, Math. Ann. 320 (2001), no. 2, 367–380....
  • Jungkai A. Chen and Christopher D. Hacon, Linear series of irregular varieties, Algebraic geometry in East Asia (Kyoto, 2001) World Sci. Publ.,...
  • Jungkai A. Chen and Christopher D. Hacon, On the irregularity of the image of the Iitaka fibration, Comm. Algebra 32 (2004), no. 1, 203–215....
  • Lawrence Ein and Robert Lazarsfeld, Singularities of theta divisors and the birational geometry of irregular varieties, J. Amer. Math. Soc....
  • Mark Green and Robert Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville,...
  • Mark Green and Robert Lazarsfeld, Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc. 4 (1991), no. 1,...
  • Christopher D. Hacon, A derived category approach to generic vanishing, J. Reine Angew. Math. 575 (2004), 173–187. MR 2097552, DOI 10.1515/crll.2004.078
  • Christopher D. Hacon and Rita Pardini, On the birational geometry of varieties of maximal Albanese dimension, J. Reine Angew. Math. 546 (2002),...
  • Christopher D. Hacon and Rita Pardini, Birational characterization of products of curves of genus 2, Math. Res. Lett. 12 (2005), no. 1, 129–140....
  • Zhi Jiang, On varieties of maximal Albanese dimension, Manuscripta Math. 138 (2012), no. 1-2, 203–219. MR 2898754, DOI 10.1007/s00229-011-0518-x
  • Z. Jiang, Varieties with q(X)=\dim (X) and P_2(X)=2, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 243–258.
  • Zhi Jiang, An effective version of a theorem of Kawamata on the Albanese map, Commun. Contemp. Math. 13 (2011), no. 3, 509–532. MR 2813500,...
  • Z. Jiang, M. Lahoz and S. Tirabassi, On the Iitaka fibration of varieties of maximal Albanese dimension, arXiv: 1111.6279, to appear in Int....
  • Yujiro Kawamata, Characterization of abelian varieties, Compositio Math. 43 (1981), no. 2, 253–276. MR 622451
  • János Kollár, Higher direct images of dualizing sheaves. I, Ann. of Math. (2) 123 (1986), no. 1, 11–42. MR 825838, DOI 10.2307/1971351
  • János Kollár, Higher direct images of dualizing sheaves. II, Ann. of Math. (2) 124 (1986), no. 1, 171–202. MR 847955, DOI 10.2307/1971390
  • János Kollár, Shafarevich maps and plurigenera of algebraic varieties, Invent. Math. 113 (1993), no. 1, 177–215. MR 1223229, DOI 10.1007/BF01244307
  • János Kollár, Shafarevich maps and automorphic forms, M. B. Porter Lectures, Princeton University Press, Princeton, NJ, 1995. MR 1341589,...
  • Robert Lazarsfeld, Positivity in algebraic geometry. II, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys...
  • Shigefumi Mori, Classification of higher-dimensional varieties, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure...
  • Shigeru Mukai, Duality between D(X) and D(\hat X) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), 153–175. MR 607081, DOI...
  • Giuseppe Pareschi and Mihnea Popa, Regularity on abelian varieties. I, J. Amer. Math. Soc. 16 (2003), no. 2, 285–302. MR 1949161, DOI 10.1090/S0894-0347-02-00414-9
  • Giuseppe Pareschi and Mihnea Popa, GV-sheaves, Fourier-Mukai transform, and generic vanishing, Amer. J. Math. 133 (2011), no. 1, 235–271....
  • Yuri Prokhorov, Simple finite subgroups of the Cremona group of rank 3, J. Algebraic Geom. 21 (2012), no. 3, 563–600. MR 2914804, DOI 10.1090/S1056-3911-2011-00586-9
  • Carlos Simpson, Subspaces of moduli spaces of rank one local systems, Ann. Sci. École Norm. Sup. (4) 26 (1993), no. 3, 361–401. MR 1222278,...
  • Sofia Tirabassi, On the tetracanonical map of varieties of general type and maximal Albanese dimension, Collect. Math. 63 (2012), no. 3, 345–349....
  • Eckart Viehweg, Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces, Algebraic varieties and analytic varieties...
  • Eckart Viehweg, Positivity of direct image sheaves and applications to families of higher dimensional manifolds, School on Vanishing Theorems...