The stalk formula for multi-microlocal Hom functors and the multi-microlocal Sato triangle

  • Ryosuke Sakamoto

    Hokkaido University, Sapporo, Japan
The stalk formula for multi-microlocal Hom functors and the multi-microlocal Sato triangle cover
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Abstract

The concept of “multi-microlocalization” was introduced to extend the usual microlocal sheaf theory to a more general scope. This paper aims to further extend this theory by exploring advanced topics. One is a stalk formula for multi-microlocalized Hom functors and we compute some examples in multi-microlocal settings. Secondly we construct the Sato triangle in the context of multi-microlocal analysis. Ultimately we get the Sato triangle for the multi-microlocalized Hom functors.

Cite this article

Ryosuke Sakamoto, The stalk formula for multi-microlocal Hom functors and the multi-microlocal Sato triangle. Rend. Sem. Mat. Univ. Padova (2025), published online first

DOI 10.4171/RSMUP/180