Deformations and simultaneous resolution of determinantal surfaces

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dc.contributor.authorMakonzi, Brian
dc.date.accessioned2025-12-12T08:57:23Z
dc.date.available2025-12-12T08:57:23Z
dc.date.issued2025-11-25
dc.description.abstractThis paper uses reconstruction algebras to construct simultaneous resolution of determinantal surfaces. The main new difference to the classical case is that, in addition to the quiver of the reconstruction algebra, certain non-commutative relations, namely those of the canonical algebra of Ringel, are required. All the relations of the reconstruction algebra except the canonical relation are then deformed, and these deformed relations together with variation of the geometric invariant theory (GIT) quotient achieve the simultaneous resolution.
dc.description.sponsorshipGRAID programme and ERC Consolidator Grant 101001227 (MMiMMa)
dc.identifier.citationMakonzi, B. (2025). Deformations and Simultaneous Resolution of Determinantal Surfaces. The Quarterly Journal of Mathematics, haaf044.
dc.identifier.issn1464-3847
dc.identifier.urihttps://dir.muni.ac.ug/handle/20.500.12260/815
dc.language.isoen
dc.publisherOxford University Press
dc.subjectDeterminantal surfaces
dc.subjectSimultaneous resolution
dc.subjectSurface deformations
dc.subjectAlgebraic geometry
dc.subjectSingularity analysis
dc.titleDeformations and simultaneous resolution of determinantal surfaces
dc.typeArticle

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