Wall and chamber structure for a special biserial algebra coming from perverse sheaves on $\mathbb{P}^{n}$
Year: 2026
Type: article
Abstract: We describe the wall and chamber structure of a special biserial algebra whose module category is equivalent to the category of (middle) perverse sheaves on the complex projective space \mathbb{P}^{n} . In particular, by the well-known classification of indecomposable modules for special biserial algebras, we deduce that the algebra of interest is of finite representation type and we provide an explicit description of the walls of the structure. By a result of Bridgeland this wall and chamber structure coincides with the chamber structure in an open subset of the space of stability conditions on the bounded derived category of constructible sheaves on \mathbb{P}^{n} .
Source: Documenta Mathematica
DOI: 10.4171/dm/1096
Authors: Alessio Cipriani, Martina Lanini
Institutions: University of Verona, University of Rome Tor Vergata
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4385965021