Mathematical Research Letters

Volume 16 (2009)

Number 1

Logarithmic Combinatorial Differentials

Pages: 183 – 197

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n1.a18

Author

Daniel Schepler (Scalable Network Technologies)

Abstract

Given a morphism $X \to S$ of fine log schemes, we develop a geometric description of the sheaves of higher-order differentials $\Omega^n_{X/S}$ for $n > 1$, as well as a definition of the de~Rham complex in terms of this description.

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