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math.AG2022
The quadratic Artin conductor of a motivic spectrum
Fangzhou Jin, Enlin Yang
Given a motivic spectrum over a smooth proper scheme which is dualizable over an open subscheme, we define its quadratic Artin conductor under some assumptions, and prove a for…
math.AG2022★ 1 cited
Cohomological Milnor formula and Saito's conjecture on characteristic classes
Enlin Yang, Yigeng Zhao
We confirm the quasi-projective case of Saito's conjecture, namely that the cohomological characteristic classes defined by Abbes and Saito can be computed in terms of the characte…
math.AG2022
The limit and boundary characteristic classes in Borel-Moore motivic homology
Fangzhou Jin, Peng Sun, Enlin Yang
We show that the zero-dimensional part of the pro-Chern-Schwarz-MacPherson class defined by Aluffi can be lifted to the zeroth Suslin homology. The proof uses the pro-characteristi…