Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara Logarithmic abelian varieties. IV: Proper models. (English) Zbl 1329.14090 Nagoya Math. J. 219, 9-63 (2015). Summary: This is part IV of our series of articles on \(\log\) abelian varieties. For Part I–III, see [the authors, ibid. 189, 63–138 (2008; Zbl 1169.14031); J. Math. Sci., Tokyo 15, No. 1, 69–193 (2008; Zbl 1156.14038); Nagoya Math. J. 210, 59–81 (2013; Zbl 1280.14008)]. In this part, we study the algebraic theory of proper models of \(\log\) abelian varieties. Cited in 3 ReviewsCited in 8 Documents MSC: 14K10 Algebraic moduli of abelian varieties, classification 14J10 Families, moduli, classification: algebraic theory 14D06 Fibrations, degenerations in algebraic geometry Keywords:abelian variety; degeneration; \(\log\) geometry; \(\log\) abelian variety Citations:Zbl 1169.14031; Zbl 1156.14038; Zbl 1280.14008 PDFBibTeX XMLCite \textit{T. Kajiwara} et al., Nagoya Math. J. 219, 9--63 (2015; Zbl 1329.14090) Full Text: DOI References: [1] Barsotti Symposium in Algebraic Geometry (Abano Terme, 1991) 15 pp 183– (1994) [2] J. Math. Sci. Univ. Tokyo 15 pp 69– (2008) [3] Lecture Notes in Math. 269 (1972) [4] Ergeb. Math. Grenzgeb 22 (1990) [5] Algebraic Geometry (Bombay, 1968) pp 13– (1969) [6] Global Analysis (Papers in Honor of K. Kodaira) pp 21– (1969) · Zbl 0188.24401 [7] Actes du Congrès International des Mathématiciens, I (Nice, 1970) pp 473– (1971) [8] Doc. Math. 13 pp 505– (2008) [9] DOI: 10.1007/s002080050081 · Zbl 0877.14016 · doi:10.1007/s002080050081 [10] Ergeb. Math, Grenzgeb. 39 (2000) [11] Lecture Notes in Math. 203 (1971) [12] Ann. of Math. Stud. 169 (2009) [13] DOI: 10.2307/2374941 · Zbl 0832.14002 · doi:10.2307/2374941 [14] DOI: 10.1017/S002776300000951X · Zbl 1169.14031 · doi:10.1017/S002776300000951X [15] DOI: 10.1017/S0027763000010734 · doi:10.1017/S0027763000010734 [16] Publ. Math. Inst. Hautes Études Sci. 8 (1961) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.