2 citations · 4 across the 8 of their papers we have counts for
9 papers
A Lefschetz-Riemann-Roch theorem for singular schemes
Runqiao Fu, Shun Tang
In this paper, we prove a Lefschetz-Riemann-Roch theorem for singular projective schemes which admit diagonalisable group scheme actions, this result generalizes P. Baum, W. Fulton…
Arithmetic invariants of Euclidean lattice
Shun Tang
In this paper we study the arithmetic invariants of Euclidean lattice in the context of Arakelov geometry. We regard a Euclidean lattice as a hermitian vector bundle on ${…
A note on Taylor expansion of real function
Shun Tang
Let be a real function which has -th derivative on an interval . For any point and any integer , denote by the $…
An arithmetic Lefschetz-Riemann-Roch theorem. With an appendix by Xiaonan Ma
Shun Tang
In this article, we consider regular projective arithmetic schemes in the context of Arakelov geometry, any of which is endowed with an action of the diagonalisable group scheme as…
Localization theorem for higher arithmetic K-theory
Shun Tang
Quillen's localization theorem is well known as a fundamental theorem in the study of algebraic K-theory. In this paper, we present its arithmetic analogue for the equivariant K-th…
Canonical key formula for projective abelian schemes
Shun Tang
In this paper we prove a refined version of the canonical key formula for projective abelian schemes in the sense of Moret-Bailly, we also extend this discussion to the context of…