Artin shapes
Abstract
We introduce, and study examples of, a notion of the Artin shape for a motive related to a projective homogeneous variety.We apply it to the problem of finding the complete motivic decomposition of the variety.Our examples cover unitary involution varieties as well as some varieties given by a quadratic Weil transfer.Some of the decompositions obtained dispel prior expectations on how motivic decompositions of projective homogeneous varieties can look like.
Fields of Study & Subjects
Collagen: Extraction and Characterization
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 344
- Issue
- 2
- Pages
- 359–366
- Publication date
- 8 September 2026
- Language
- EN