Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Deligne-Beilinson cohomology and log Hodge theory. (English) Zbl 1514.14003 Proc. Japan Acad., Ser. A 99, No. 4, 27-32 (2023). Reviewer: Takahiro Tsushima (Chiba) MSC: 14A21 14D07 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 99, No. 4, 27--32 (2023; Zbl 1514.14003) Full Text: DOI arXiv Link
Kato, Kazuya Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. (English) Zbl 1525.14004 Tokyo J. Math. 44, No. 1, 125-155 (2021). MSC: 14A21 14F30 14G20 PDFBibTeX XMLCite \textit{K. Kato}, Tokyo J. Math. 44, No. 1, 125--155 (2021; Zbl 1525.14004) Full Text: DOI
Kato, Kazuya Height functions for motives. II. (English) Zbl 1474.14043 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 467-535 (2020). MSC: 14G40 14C30 30D35 PDFBibTeX XMLCite \textit{K. Kato}, Adv. Stud. Pure Math. 86, 467--535 (2020; Zbl 1474.14043) Full Text: DOI arXiv
Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei On log motives. (English) Zbl 1444.14015 Tunis. J. Math. 2, No. 4, 733-789 (2020). MSC: 14C15 14A21 14F20 PDFBibTeX XMLCite \textit{T. Ito} et al., Tunis. J. Math. 2, No. 4, 733--789 (2020; Zbl 1444.14015) Full Text: DOI arXiv Link
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. (English) Zbl 1423.14073 Kyoto J. Math. 58, No. 2, 289-426 (2018). MSC: 14D07 14C30 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Kyoto J. Math. 58, No. 2, 289--426 (2018; Zbl 1423.14073) Full Text: DOI arXiv Euclid
Kato, Kazuya Height functions for motives. (English) Zbl 1453.14079 Sel. Math., New Ser. 24, No. 1, 403-472 (2018). MSC: 14G40 14C30 14F30 11G50 PDFBibTeX XMLCite \textit{K. Kato}, Sel. Math., New Ser. 24, No. 1, 403--472 (2018; Zbl 1453.14079) Full Text: DOI arXiv
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara Logarithmic abelian varieties. IV: Proper models. (English) Zbl 1329.14090 Nagoya Math. J. 219, 9-63 (2015). MSC: 14K10 14J10 14D06 PDFBibTeX XMLCite \textit{T. Kajiwara} et al., Nagoya Math. J. 219, 9--63 (2015; Zbl 1329.14090) Full Text: DOI
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Néron models for admissible normal functions. (English) Zbl 1303.14022 Proc. Japan Acad., Ser. A 90, No. 1, 6-10 (2014). Reviewer: Alberto Collino (Torino) MSC: 14C30 14D05 14D07 14K30 32G20 32J25 32S35 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 90, No. 1, 6--10 (2014; Zbl 1303.14022) Full Text: DOI Euclid
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. (English) Zbl 1298.14017 J. Algebr. Geom. 22, No. 4, 671-772 (2013). Reviewer: Vladimir L. Popov (Moskva) MSC: 14D07 14D23 PDFBibTeX XMLCite \textit{K. Kato} et al., J. Algebr. Geom. 22, No. 4, 671--772 (2013; Zbl 1298.14017) Full Text: DOI arXiv
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. (English) Zbl 1280.14008 Nagoya Math. J. 210, 59-81 (2013). Reviewer: Dan Petersen (Stockholm) MSC: 14K10 14J10 14D06 PDFBibTeX XMLCite \textit{T. Kajiwara} et al., Nagoya Math. J. 210, 59--81 (2013; Zbl 1280.14008) Full Text: DOI Euclid
Kato, Kazuya; Saito, Takeshi Ramification theory for varieties over a local field. (English) Zbl 1290.14011 Publ. Math., Inst. Hautes Étud. Sci. 117, 1-178 (2013). Reviewer: Lei Fu (Tianjin) MSC: 14F20 14G20 PDFBibTeX XMLCite \textit{K. Kato} and \textit{T. Saito}, Publ. Math., Inst. Hautes Étud. Sci. 117, 1--178 (2013; Zbl 1290.14011) Full Text: DOI arXiv
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Analyticity of the closures of some Hodge theoretic subspaces. (English) Zbl 1252.14010 Proc. Japan Acad., Ser. A 87, No. 9, 167-172 (2011). Reviewer: Zsolt Patakfalvi (Princeton) MSC: 14D07 14C30 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 87, No. 9, 167--172 (2011; Zbl 1252.14010) Full Text: DOI arXiv
Kato, Kazuya \(p\)-adic period domains and toroidal partial compactifications. I. (English) Zbl 1238.14015 Kyoto J. Math. 51, No. 3, 561-631 (2011). Reviewer: Liang Xiao (Chicago) MSC: 14F30 14F20 14F40 PDFBibTeX XMLCite \textit{K. Kato}, Kyoto J. Math. 51, No. 3, 561--631 (2011; Zbl 1238.14015) Full Text: DOI
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. (English) Zbl 1233.14007 Kyoto J. Math. 51, No. 1, 149-261 (2011). Reviewer: Vladimir L. Popov (Moskva) MSC: 14D20 14D23 14F05 PDFBibTeX XMLCite \textit{K. Kato} et al., Kyoto J. Math. 51, No. 1, 149--261 (2011; Zbl 1233.14007) Full Text: DOI arXiv
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Néron models in log mixed Hodge theory by weak fans. (English) Zbl 1209.14009 Proc. Japan Acad., Ser. A 86, No. 8, 143-148 (2010). Reviewer: Christian Schnell (Chicago) MSC: 14C30 14D07 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 86, No. 8, 143--148 (2010; Zbl 1209.14009) Full Text: DOI
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Moduli of log mixed Hodge structures. (English) Zbl 1209.14008 Proc. Japan Acad., Ser. A 86, No. 7, 107-112 (2010). Reviewer: Christian Schnell (Chicago) MSC: 14C30 14D07 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 86, No. 7, 107--112 (2010; Zbl 1209.14008) Full Text: DOI arXiv
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei Log intermediate Jacobians. (English) Zbl 1200.14024 Proc. Japan Acad., Ser. A 86, No. 4, 73-78 (2010). Reviewer: Davide Franco (Napoli) MSC: 14C30 14D07 32G20 PDFBibTeX XMLCite \textit{K. Kato} et al., Proc. Japan Acad., Ser. A 86, No. 4, 73--78 (2010; Zbl 1200.14024) Full Text: DOI arXiv
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara Analytic log Picard varieties. (English) Zbl 1149.14038 Nagoya Math. J. 191, 149-180 (2008). Reviewer: Cristiana Bertolin (Regensburg) MSC: 14K30 14K20 32G20 PDFBibTeX XMLCite \textit{T. Kajiwara} et al., Nagoya Math. J. 191, 149--180 (2008; Zbl 1149.14038) Full Text: DOI Euclid
Kato, Kazuya; Nakayama, Chikara; Usui, Sampei SL(2)-orbit theorem for degeneration of mixed Hodge structure. (English) Zbl 1144.14005 J. Algebr. Geom. 17, No. 3, 401-479 (2008). Reviewer: Fumio Hazama (Hatoyama) MSC: 14C30 14L30 13D07 PDFBibTeX XMLCite \textit{K. Kato} et al., J. Algebr. Geom. 17, No. 3, 401--479 (2008; Zbl 1144.14005) Full Text: DOI
Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara Logarithmic abelian varieties. (English) Zbl 1169.14031 Nagoya Math. J. 189, 63-138 (2008). Reviewer: Herbert Lange (Erlangen) MSC: 14K10 14J10 14D06 PDFBibTeX XMLCite \textit{T. Kajiwara} et al., Nagoya Math. J. 189, 63--138 (2008; Zbl 1169.14031) Full Text: DOI Euclid
Kato, Kazuya; Saito, Takeshi On the conductor formula of Bloch. (English) Zbl 1099.14009 Publ. Math., Inst. Hautes Étud. Sci. 100, 5-151 (2004). Reviewer: Chandan Singh Dalawat (Allahabad) MSC: 14G20 11G25 14C15 14C35 PDFBibTeX XMLCite \textit{K. Kato} and \textit{T. Saito}, Publ. Math., Inst. Hautes Étud. Sci. 100, 5--151 (2004; Zbl 1099.14009) Full Text: DOI Numdam EuDML
Kato, Kazuya; Nakayama, Chikara log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). (English) Zbl 0957.14015 Kodai Math. J. 22, No. 2, 161-186 (1999). Reviewer: Gerd Faltings (Bonn) MSC: 14F20 14F43 PDFBibTeX XMLCite \textit{K. Kato} and \textit{C. Nakayama}, Kodai Math. J. 22, No. 2, 161--186 (1999; Zbl 0957.14015) Full Text: DOI