9 citations · 18 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Some results on the motivic nearby cycle
Fangzhou Jin, Enlin Yang
We extend Ayoub's formalism of motivic nearby cycle functor to the -categorical level, and prove some desired cohomological properties by relating the motivic nearby cycle…
Künneth formulas for motives and additivity of traces
Fangzhou Jin, Enlin Yang
We prove several Künneth formulas in motivic homotopy categories and deduce a Verdier pairing in these categories following SGA5, which leads to the characteristic class of a const…
On the relative twist formula of -adic sheaves
Enlin Yang, Yigeng Zhao
We propose a conjecture on the relative twist formula of -adic sheaves, which can be viewed as a generalization of Kato-Saito's conjecture. We verify this conjecture under so…