2004/10/17 by Silvano Baggio, Baggio, Silvano
Mathematics · #14M25 #19E08 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14M25 #msc:19E08
paper · pdf · doi:10.48550/arxiv.math/0410378
27 pages; The proof of Lemma 4.4 is shorter; section 4.3 is new: now we can prove Prop. 2.3 without reference to Reisner's Thm. Other minor changes have been made
openalex publication_date 2004/10/17 · arxiv created 2005/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize the smooth toric varieties for which the Merkurjev spectral sequence, connecting equivariant and ordinary K-theory, degenerates. We find under which conditions on the support of the fan the E2 terms of the spectral sequence are invariants by subdivisions of the fan. Assuming these conditions, we describe explicitly the E2 terms, linking them to the reduced homology of the fan.