Geometry and the zero sets of semi-invariants for homogeneous modules over canonical algebras

2006/03/09 by Grzegorz Bobiński, Bobinski, Grzegorz
Mathematics · #14L24 #16G20 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0603216

openalex publication_date 2006/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the canonical algebras such that for all dimension vectors of homogeneous modules the corresponding module varieties are complete intersections (respectively, normal). We also investigate the sets of common zeros of semi-invariants of non-zero degree in important cases. In particular, we show that for sufficiently big vectors they are complete intersections and calculate the number of their irreducible components.

Citations

• Algebras and Quadratic Forms

Related

• On the zero set of semi-invariants for regular modules over tame canonical algebras
• Semi-invariants for concealed-canonical algebras
• Complete intersections and rational homotopy theory
• On the invariant theory for acyclic gentle algebras
• Generic decompositions and semi-invariants for string algebras