Local Picard group of pointed monoids and their algebras

Autor(en): Alberelli, Davide
Brenner, Holger 
Stichwörter: Mathematics; Picard group; simplicial complex; Stanley-Reisner rings; VECTOR-BUNDLES
Erscheinungsdatum: 2019
Herausgeber: TAYLOR & FRANCIS INC
Journal: COMMUNICATIONS IN ALGEBRA
Volumen: 47
Ausgabe: 6, SI
Startseite: 2308
Seitenende: 2340
Zusammenfassung: 
The main goal of this article is to give an explicit formula for H-Zar(j) (Spec center dot K[Delta], O-K[Lambda](+) in terms of simplicial and reduced simplicial cohomology, where K[Delta] is the Stanley- Reisner ring of the simplicial complex Delta. In particular, we compute the local Picard group of K[Delta]. To achieve this, we study the corresponding purely combinatorial problem on the punctured spectrum of the pointed monoid defined by Delta. The cohomology of the sheaf of units on Spec.K[Delta] is then the direct sum of this combinatorial cohomology, which has a decomposition along the vertices, and another part depending on the field K.
ISSN: 00927872
DOI: 10.1080/00927872.2018.1492592

Show full item record

Google ScholarTM

Check

Altmetric