0000000000709769

AUTHOR

Holger Brenner

showing 2 related works from this author

Dagger closure and solid closure in graded dimension two

2013

We introduce a graded version of dagger closure and prove that it coincides with solid closure for homogeneous ideals in two-dimensional N \mathbb {N} -graded domains of finite type over a field.

DaggerPure mathematicsHomogeneousApplied MathematicsGeneral MathematicsDimension (graph theory)Closure (topology)Field (mathematics)Type (model theory)MathematicsTransactions of the American Mathematical Society
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On a question of Mehta and Pauly

2013

In this short note we provide explicit examples in characteristic $p$ on certain smooth projective curves where for a given semistable vector bundle $\mathcal{E}$ the length of the Harder-Narasimhan filtration of $F^\ast \mathcal{E}$ is longer than $p$. This answers a question of Mehta and Pauly raised in arXiv:math/0607565.

Mathematics - Algebraic GeometryPure mathematicsMathematics::Algebraic GeometryFiltration (mathematics)FOS: MathematicsVector bundleGeneral MedicineAlgebraic Geometry (math.AG)Mathematics14H60
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