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math.AG2025
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…
math.AG2025
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 ${…