4 citations · 13 across the 16 of their papers we have counts for
5 papers · 2 filters
On superheight conditions for the affineness of open subsets
Holger Brenner
In this paper we consider the open complement U of a hypersurface Y=V(a) in an affine scheme X. We study the relations between the affineness of U, the intersection of Y with close…
How to rescue solid closure
Holger Brenner
We define a closure operation for ideals in a commutative ring which has all the good properties of solid closure (at least in the case of equal characteristic) but such that also…
Tight closure and projective bundles
Holger Brenner
We formulate problems of tight closure theory in terms of projective bundles and subbundles. This provides a geometric interpretation of such problems and allows us to apply inters…
Lifting chains of prime ideals
Holger Brenner
We give an elementary proof that for a ring homomorphism A -> B, satisfying the property that every ideal in A is contracted from B, the following property holds: for every chain o…
Tight closure and plus closure for cones over elliptic curves
Holger Brenner
We characterize the tight closure of graded primary ideals in a homogeneous coordinate ring over an elliptic curve by numerical conditions and we show that it is in positive charac…