For smooth pure shellable toric varieties, the cellular A1-chain complex is computed explicitly in terms of homology of restriction subcomplexes Kω with Milnor-Witt K-theory coefficients, yielding MW-motivic decompositions and Chow group bases.
The homogeneous coordinate ring of a toric variety
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties
For smooth pure shellable toric varieties, the cellular A1-chain complex is computed explicitly in terms of homology of restriction subcomplexes Kω with Milnor-Witt K-theory coefficients, yielding MW-motivic decompositions and Chow group bases.