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- W3162203584 abstract "Chapter V is devoted to the topology of log schemes. It begins with a discussion of log analytic spaces and their “Betti realizations,” as invented by Kato and Nakayama, which reveal the geometric effect of adding a log structure to a log analytic space. The Betti realization of a log analytic space is home to the “logarithmic exponential map” and carries a sheaf of rings in which can be found solutions to differential equations with log poles and unipotent monodromy. Then the de Rham complex of a log scheme is discussed, along with some of its canonical filtrations which come from the combinatorics of the underlying log structure. After a discussion of the Cartier operator, the chapter concludes with some comparison and finiteness theorems for analytic, algebraic, and Betti cohomologies." @default.
- W3162203584 created "2021-05-24" @default.
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- W3162203584 date "2018-11-05" @default.
- W3162203584 modified "2023-09-26" @default.
- W3162203584 title "Betti and de Rham Cohomology" @default.
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- W3162203584 doi "https://doi.org/10.1017/9781316941614.006" @default.
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