Monomorphisms in categories of log schemes

• Mochizuki Shinichi

  Research Institute for Mathematical Sciences Kyoto University

抄録

In the present paper, we study category-theoretic properties of monomorphisms in categories of log schemes. This study allows one to give a purely category-theoretic reconstruction of the log scheme that gave rise to the category under consideration. We also obtain analogous results for categories of schemes of locally finite type over the ring of rational integers that are equipped with "archimedean structures". Such reconstructions were discussed in two previous papers by the author, but these reconstructions contained some errors, which were pointed out to the author by C. Nakayama and Y. Hoshi. These errors revolve around certain elementary combinatorial aspects of fan decompositions of two-dimensional rational polyhedral cones—i.e., of the sort that occur in the classical theory of toric varieties—and may be repaired by applying the theory developed in the present paper.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 38 (2), 365-429, 2015

  国立大学法人 東京工業大学理学院数学系

キーワード

• Log scheme
• scheme
• category
• anabelian geometry
• archimedean structure

詳細情報

• CRID: 1390001205274273152
• NII論文ID: 130005475916
• DOI: 10.2996/kmj/1436403897
• ISSN: 18815472
• ISSN: 03865991
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可