A study of log-geometric analogues of algeraic K-theory and its application to arithmetic and algebraic geometry

Research Project

Project/Area Number	23740030
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Multi-year Fund
Research Field	Algebra
Research Institution	Hokkaido University
Principal Investigator	HAGIHARA Kei 北海道大学, 理学(系)研究科(研究院), 研究員 (30512173)
Project Period (FY)	2011-04-28 – 2015-03-31
Project Status	Completed (Fiscal Year 2014)
Budget Amount *help	¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000) Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords	代数的K理論 / 対数的幾何学 / 代数的サイクル
Outline of Final Research Achievements	We study several properties of log-geometric analogues of algebraic K-theory, which is one of the most important invariants in arithmetic and algebraic geometry, focusing on those of Kummer etale K-groups and logarithmic Grothendieck-Riemann-Roch theorem formulated by them. We also consider their applications to algebraic and arithmetic geometry.

Report

(5 results)