[1] Berndtsson B. Curvature of vector bundles associated to holomorphic fibrations. Ann of Math, 2009, 169(2):531-560 [2] Berndtsson B. The openness conjecture and complex Brunn-Minkowski inequalities//Complex Geometry and Dynamics. Abel Symposia 10. Cham:Springer, 2015:29-44 [3] Berndtsson B, Pǎun M. Bergman kernels and the pseudoeffectivity of relative canonical bundles. Duke Math J, 2008, 145:341-378 [4] Berndtsson B, Pǎun M. A Bergman kernel proof of the Kawamata subadjunction theorem. arXiv:0804.3884 [5] Berndtsson B, Pǎun M. Bergman kernels and subadjunction. arXiv:1002.4145 [6] B locki Z. Suita conjecture and the Ohsawa-Takegoshi extension theorem. Invent Math, 2013, 193(1):149- 158 [7] Cao J Y. Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications//Complex and Symplectic Geometry. Springer INdAM Series 21. Cham:Springer, 2017:19-38 [8] Cao J Y, Demailly J-P, Matsumura S. A general extension theorem for cohomology classes on non reduced analytic subspaces. Sci China Math, 2017, 60(6):949-962 [9] Demailly J-P. Singular Hermitian metrics on positive line bundles//Complex Algebraic Varieties (Bayreuth, 1990). Lecture Notes in Mathematics 1507. Berlin:Springer, 1992:87-104 [10] Demailly J-P. Regularization of closed positive currents of type (1, 1) by the flow of a Chern connection//Contributions to Complex Analysis and Analytic Geometry. Aspects Math E26. Braunschweig:Friedr Vieweg, 1994:105-126 [11] Demailly J-P. On the Ohsawa-Takegoshi-Manivel L2 extension theorem//Complex Analysis and Geometry (Paris, 1997). Progress in Mathematics 188. Basel:Birkhäuser, 2000:47-82 [12] Demailly J-P. Multiplier ideal sheaves and analytic methods in algebraic geometry//School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000). ICTP Lect Notes 6. Trieste:Abdus Salam International Centre for Theoretical Physics, 2001:1-148 [13] Demailly J-P. Analytic Methods in Algebraic Geometry. Surveys of Modern Mathematics 1. Somerville/Beijing:International Press/Higher Education Press, 2012/2010 [14] Demailly J-P. Extension of holomorphic functions defined on non reduced analytic subvarieties//The Legacy of Bernhard Riemann after One Hundred and Fifty Years, Volume I. Advanced Lectures in Mathematics 35.1. Somerville:International Press, 2016:191-222 [15] Fujino O, Matsumura S. Injectivity theorem for pseudo-effective line bundles and its applications. arXiv:1605.02284 [16] Gongyo Y, Matsumura S. Versions of injectivity and extension theorems. Ann Sci Éc Norm Supér, 2017, 50(2):479-502 [17] Guan Q A, Zhou X Y, Zhu L F. On the Ohsawa-Takegoshi L2 extension theorem and the twisted BochnerKodaira identity. C R Math Acad Sci Paris, 2011, 349(13/14):797-800 [18] Guan Q A, Zhou X Y. Optimal constant problem in the L2 extension theorem. C R Math Acad Sci Paris, 2012, 350(15/16):753-756 [19] Guan Q A, Zhou X Y. Optimal constant in an L2 extension problem and a proof of a conjecture of Ohsawa. Sci China Math, 2015, 58(1):35-59 [20] Guan Q A, Zhou X Y. A solution of an L2 extension problem with an optimal estimate and applications. Ann of Math, 2015, 181(3):1139-1208 [21] Guan Q A, Zhou X Y. A proof of Demailly's strong openness conjecture. Ann of Math, 2015, 182(2):605-616 [22] Guan Q A, Zhou X Y. Strong openness of multiplier ideal sheaves and optimal L2 extension. Sci China Math, 2017, 60(6):967-976 [23] Hacon C D, Popa M, Schnell C. Algebraic fiber spaces over abelian varieties:around a recent theorem by Cao and Pǎun//Local and Global Methods in Algebraic Geometry. Contemporary Mathematics 712. Providence:American Mathematical society, 2018:143-195 [24] Hosono G. The optimal jet L2 extension of Ohsawa-Takegoshi type. Nagoya Math J, 2020, 239:153-172 [25] Matsumura S. A Nadel vanishing theorem via injectivity theorems. Math Ann, 2014, 359(3/4):785-802 [26] Matsumura S. An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities. J Algebraic Geom, 2018, 27(2):305-337 [27] Matsumura S. Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms. arXiv:1607.05554 [28] Nadel A M. Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature. Ann of Math, 1990, 132(3):549-596 [29] Ohsawa T. L2 Approaches in Several Complex Variables. Towards the Oka-Cartan theory with precise bounds. Springer Monographs in Mathematics. Tokyo:Springer, 2018 [30] Ohsawa T, Takegoshi K. On the extension of L2 holomorphic functions. Math Z, 1987, 195:197-204 [31] Pǎun M, Takayama S. Positivity of twisted relative pluricanonical bundles and their direct images. J Algebraic Geom, 2018, 27(2):211-272 [32] Phong D H, Sturm J. Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions. Ann of Math, 2000, 152(1):277-329 [33] Siu Y-T. Some recent transcendental techniques in algebraic and complex geometry//Proceedings of the International Congress of Mathematicians, Volume I (Beijing, 2002). Beijing:Higher Education Press, 2002:439-448 [34] Siu Y-T. Invariance of plurigenera and torsion-freeness of direct image sheaves of pluricanonical bundles//Finite or Infinite Dimensional Complex Analysis and Applications. Advances in Complex Analysis and its Applications 2. Dordrecht:Kluwer Academic Publishers, 2004:45-83 [35] Wang J. On the Iitaka Conjecture Cn,m for Kähler Fibre Spaces. arXiv:1907.06705 [36] Yi L. An Ohsawa-Takegoshi theorem on compact Kähler manifolds. Sci China Math, 2014, 57(1):9-30 [37] Zhou X Y. A survey on L2 extension problem//Complex Geometry and Dynamics. Abel Symposia 10. Cham:Springer, 2015:291-309 [38] Zhou X Y, Zhu L F. A generalized Siu's lemma. Math Res Lett, 2017, 24(6):1897-1913 [39] Zhou X Y, Zhu L F. Regularization of quasi-plurisubharmonic functions on complex manifolds. Sci China Math, 2018, 61(7):1163-1174 [40] Zhou X Y, Zhu L F. Optimal L2 extension and Siu's lemma. Acta Math Sin (Engl Ser), 2018, 34(8):1289-1296 [41] Zhou X Y, Zhu L F. An optimal L2 extension theorem on weakly pseudoconvex Kähler manifolds. J Differential Geom, 2018, 110(1):135-186 [42] Zhou X Y, Zhu L F. Optimal L2 extension of sections from subvarieties in weakly pseudoconvex manifolds. Pacific J Math, 2020, 309(2):475-510 [43] Zhou X Y, Zhu L F. Siu's lemma, optimal L2 extension and applications to twisted pluricanonical sheaves. Math Ann, 2020, 377(1/2):675-722 [44] Zhou X Y, Zhu L F. Subadditivity of generalized Kodaira dimensions and extension theorems. Internat J Math, 2020, 31(12):2050098, 36 pp [45] Zhou X Y, Zhu L F. Extension of cohomology classes and holomorphic sections defined on subvarieties. accepted for publication in J Algebraic Geom, see also arXiv:1909.08822 [46] Zhu L F, Guan Q A, Zhou X Y. On the Ohsawa-Takegoshi L2 extension theorem and the Bochner-Kodaira identity with non-smooth twist factor. J Math Pures Appl, 2012, 97(6):579-601 |