4 papers
math.AG2026
Cellular -homology of wonderful models of subspace arrangements
Haoyang Liu, Keyao Peng
We compute the cellular -homology of De Concini--Procesi wonderful models of subspace arrangements. For a building set over a field , we identify the…
math.AG2025
Cellular -Homology of Smooth Toric Varieties
Haoyang Liu, Keyao Peng
In this paper, we present the calculations of cellular -homology for smooth toric varieties, along with an explicit description of pure shellable cases. Consequently,…
math.AG2024
Milnor-Witt motivic decomposition of Stiefel varieties
Keyao Peng
In this work, we initially compute the integral MW-motivic cohomology groups associated with Stiefel varieties. Then we proceed to establish the integral MW-motive decomposition of…
math.AG2024
Milnor-Witt motivic cohomology and linear algebraic groups
Keyao Peng
This article presents two key computations in MW-motivic cohomology. Firstly, we compute the MW-motivic cohomology of the symplectic groups for any using…