Smooth blowup square for motives with modulus

• Autorzy: Kelly Shane , Saito Shuji

Identyfikatory

DOI

10.4064/ba190820-10-3

• Języki publikacji: EN

Abstrakty

EN

In this self-contained paper we prove that Voevodsky’s smooth blowup triangle of motives generalises to a smooth blowup triangle of motives with modulus.

Słowa kluczowe

EN

motive with modulus; blowup; log smooth modulus pair; toric; invariance

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2021
• Tom: Vol. 69, no. 2
• Strony: 97--106
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kelly Shane

• Department of Mathematics Tokyo Institute of Technology Tokyo 152-8551, Japan

• https://orcid.org/0000-0001-8789-4438

autor

Saito Shuji

• Department of Mathematical Sciences University of Tokyo Tokyo 153-8914, Japan

Bibliografia

• [1] [KMSY21a] B. Kahn, H. Miyazaki, S. Saito and T. Yamazaki: Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs, Épijournal Géom. Algébrique 5 (2021), art. 1, 46 pp.
• [2] [KMSY21b] B. Kahn, H. Miyazaki, S. Saito and T. Yamazaki: Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs, Épijournal Géom.Algébrique 5 (2021), art. 2, 31 pp.
• [3] [KMSY] B. Kahn, H. Miyazaki, S. Saito, and T. Yamazaki, Motives with modulus, III: The categories of motives, Ann. K-Theory (to appear); arXiv:2011.11859.
• [4] [Mat20] K. Matsumoto, Gysin triangles in the category of motifs with modulus, J. Inst. Math. Jussieu (online, 2022).
• [5] [Nee14] A. Neeman, Triangulated Categories. Ann. of Math. Stud. 148, Princeton Univ. Press, 2014.
• [6] [MV99] F. Morel and V. Voevodsky, A1-homotopy theory of schemes, Publ. Math.Inst. Hautes Études Sci. 90 (1999), 45-143.
• [7] [Voe10] V. Voevodsky, Homotopy theory of simplicial sheaves in completely decom posable topologies, J. Pure Appl. Algebra 214 (2010), 1384-1398.
• [8] [Voe00] V. Voevodsky, Triangulated categories of motives over a field, in: Cycles, Transfers, and Motivic Homology Theories, Ann. of Math. Stud. 143, Prince ton Univ. Press, Princeton, NJ, 2000, 188-238.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).