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参考文献
[1] A. Altman and S. Kleiman: Introduction to Grothendieck duality Theory, Lecture Notes in Mathematics, 146, Springer-Verlag, Berlin-New York 1970.
[2] C. Banic ˘ a and O. St ˘ an˘ as˘¸ila: Algebraic methods in the global theory of complex spaces, Translated from the ˘ Romanian, Editura Academiei, Bucharest; John & Wiley Sons, London-New York-Sydney, 1976.
[3] J.-P. Demailly: Analytic methods in algebraic geometry, Surveys of Modern Mathematics 1, International Press, Somerville, MA; Higher Education Press, Beijing, 2012.
[4] I. Enoki: Kawamata–Viehweg vanishing theorem for compact K ¨ahler manifolds; in Einstein metrics and Yang–Mills connections (Sanda, 1990), Lecture Notes in Pure and Appl. Math. 145, Dekker, New York, 1993, 59–68.
[5] G. Fischer: Complex analytic geometry, Lecture Notes in Mathematics 538, Springer-Verlag, Berlin-New York, 1976.
[6] O. Fujino: A transcendental approach to Koll´ar’s injectivity theorem II, J. Reine Angew. Math. 681 (2013), 149–174.
[7] O. Fujino: Koll ´ar–Nadel type vanishing theorem, Southeast Asian Bull. Math. 42 (2018), 643–646.
[8] O. Fujino: Foundations of the minimal model program, MSJ Memoirs 35. Mathematical Society of Japan, Tokyo, 2017.
[9] O. Fujino and S. Matsumura: Injectivity theorem for pseudo-effective line bundles and its applications, Trans. Amer. Math. Soc. Ser. B 8 (2021), 849–884.
[10] Q. Guan and X. Zhou: A proof of Demailly’s strong openness conjecture, Ann. of Math. (2) 182 (2015), 605–616.
[11] J. Kollar: ´ Higher direct images of dualizing sheaves. I, Ann. of Math. (2) 123 (1986), 11–42.
[12] M. Manaresi: Sard and Bertini type theorems for complex spaces, Ann. Mat. Pura Appl. (4) 131 (1982), 265–279.
[13] H. Matsumura: Commutative ring theory, Translated from the Japanese by M. Reid. Second edition. Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1989.
[14] S. Matsumura: A vanishing theorem of Koll´ar–Ohsawa type, Math. Ann. 366 (2016), 1451–1465.
[15] S. Matsumura: Injectivity theorems with multiplier ideal sheaves for higher direct images under K ¨ahler morphisms, Algebr. Geom. 9 (2022), 122–158.
[16] X. Meng and X. Zhou: On the restriction formula, preprint (2021), arXiv:2101.08120.
[17] T. Ohsawa: Vanishing theorems on complete K ¨ahler manifolds, Publ. Res. Inst. Math. Sci. 20 (1984), 21– 38.
[18] K. Takegoshi: Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper K ¨ahler morphisms, Math. Ann. 303 (1995), 389–416.
[19] M. Xia: Analytic Bertini theorem, Math. Z. 302 (2022), 1171–1176.