Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves
SummaryIn this paper we give a survey about the classification of vector bundles and torsion free sheaves on degenerations of elliptic curves. Coherent sheaves on singular curves of arithmetic genus...
View ArticleTilting on non-commutative rational projective curves
AbstractIn this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In...
View ArticleOn genera of polyhedra
AbstractWe consider the stable homotopy category S of polyhedra (finite cell complexes). We say that two polyhedra X,Y are in the same genus and write X∼ Y if Xp≅ Yp for all prime p, where Xp denotes...
View ArticleOn nilpotent Chernikov p -groups with elementary tops
AbstractThe description of nilpotent Chernikov p-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field \({\mathbb{F}_p}\) . If \({p \neq...
View ArticleMinors and Categorical Resolutions
AbstractWe define minors of non-commutative schemes and study their properties. It is then applied to the study of a special class of non-commutative schemes, called quasi-hereditary, and to a...
View ArticleMinors and resolutions of non-commutative schemes
AbstractWe develop the theory of minors of non-commutative schemes. This study is motivated by applications in the theory of non-commutative resolutions of singularities of commutative schemes. In...
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