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Hodge Theory on Generalized Normal Crossing Varieties

  • Yujiro Kawamata
Abstract

We generalize some results in Hodge theory to generalized normal crossing varieties.

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1.Abramovich, D. and Karu, K., Weak semistable reduction in characteristic 0, Invent. Math. 139(2) (2000), 241273.
2.Deligne, P., Theoreme de Lefschetz et criteres de degenerescence de suites spectrales, Publ. Math. IHES 35 (1968), 259278.
3.Deligne, P., Theorie de Hodge, II, Publ. Math. IHES 40 (1971), 557.
4.Deligne, P., Theorie de Hodge, III, Publ. Math. IHES 44 (1974), 577.
5.Bois, P. Du, Complexe de de Rham filtre d'une variete singuliere, Bull. Soc. Math. France 109(1) (1981), 4181.
6.Fujino, O., On Kawamata's theorem, in Classification of algebraic varieties, European Mathematical Society Series of Congress Reports, pp. 305315 (European Mathematical Society, Zürich, 2011).
7.Gelfand, S. I. and Manin, Y. I., Methods of homological algebra, Springer Monographs in Mathematics (Springer, 2003).
8.Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero, I, Annals Math. 79 (1964), 109203.
9.Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero, II, Annals Math. 79 (1964), 205326.
10.Kawamata, Y., Characterization of abelian varieties, Compositio Math. 43 (1981), 253276.
11.Kawamata, Y., Pluricanonical systems on minimal algebraic varieties, Invent. Math. 79 (1985), 567588.
12.Kawamata, Y., Semipositivity theorem for reducible algebraic fiber spaces, Q. J. Pure Appl. Math. 7(4) (2011), 14271447.
13.Kawamata, Y., Variation of mixed Hodge structures and the positivity for algebraic fiber spaces, Adv. Stud. Pure Math. (in press).
14.Kollár, J., Higher direct images of dualizing sheaves, I, Annals Math. 123(1) (1986), 1142.
15.Kollár, J., Higher direct images of dualizing sheaves, II, Annals Math. 124(1) (1986), 171202.
16.Nakayama, N., Hodge filtrations and the higher direct images of canonical sheaves, Invent. Math. 85(1) (1986), 217221.
17.Schmid, W., Variation of Hodge structure: the singularities of the period mapping, Invent. Math. 22 (1973), 211319.
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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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