… manifolds with c1(X) = 0 allows for an unramified cover X such that the canonical bundle KX
… Ricci-flat. So we start with a compact manifold X with an action of a complex connected Lie …

… that the class of Gorenstein B-flat modules is closed under extensions. … complexes of left
R-modules, study other model structures on complexes constructed from relative Gorenstein flat …

… flat descent to semiperfectoid rings. As one application, we refine the construction of the A
-complex … Cech nerves of the flat covers of a smooth algebra by a perfectoid algebra. As a first …

… complex Kahler manifolds, yielding flat connections when certain Chern numbers vanish. An
application in the … A variation gives a holomorphic map from the universal cover of X to the …

… If for an infinite number of j with j > i the sum is non-zero, an easy application of the K6nig …
E is injective and we apply Horn(E,__) to the complex, we get an exact sequence. In this …

… an application of this result, we establish homological dimensions of unbounded complexes
… object of G has a flat cover”. The following result gives a partial answer to this question. …

… One application is a solution of the case r = 3 of a matroidal … of simplices from a given complex
needed to cover its ground set. In … If ˆη(C \ X) ≥ ρ(MX) for every X ⊆ V which is a flat in M …

… existence of flat covers of modules over any ring [Citation5]. … E(R) the class of exact complexes
of flat R-modules such that … that a complex F is flat if F is exact and each Z n (F) is a flat R-…

… in many new optics applications and are expected to play a dominant role in the future of
flat-panel … , exclusively covering soft condensed matter systems confined to complex curved …

… easy application of their completeness result settled the flat cover … By a right F-resolution of
M we will mean a complex 0 … F and such that Hom (2, F) makes the complex exact for any F F. …