Klaus Altmann
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View article: The Impact of Frailty on Functional Outcome in Neurointensive Care Patients
The Impact of Frailty on Functional Outcome in Neurointensive Care Patients Open
Background Frailty, defined as an age‐related syndrome of multidimensional physiological decline, may serve as a valuable marker to identify brain‐injured patients who are less likely to benefit from aggressive treatment, thus avoiding unn…
View article: Acyclic toric sheaves
Acyclic toric sheaves Open
Let $\mathcal E$ be a torus-linearised reflexive sheaf over a smooth projective toric variety. Based on a theorem of Perlman-Smith, we prove an explicit sufficient condition for $\mathcal E$ to be acyclic via Weil decorations.
View article: Health-related quality of life after spontaneous subarachnoid hemorrhage – a prospective cohort study
Health-related quality of life after spontaneous subarachnoid hemorrhage – a prospective cohort study Open
Purpose Reduced health-related quality of life (HR-QoL) is common after spontaneous subarachnoid hemorrhage (SAH). Here, we aimed to describe the prevalence of HR-QoL impairment one year after SAH and to identify associated factors. Method…
View article: Toric sheaves and polyhedra
Toric sheaves and polyhedra Open
Over a smooth projective toric variety we study toric sheaves, that is, reflexive sheaves equivariant with respect to the acting torus, from a polyhedral point of view. One application is the explicit construction of the torus invariant un…
View article: The structure of exceptional sequences on toric varieties of Picard rank two
The structure of exceptional sequences on toric varieties of Picard rank two Open
For a smooth projective toric variety of Picard rank two we classify all exceptional sequences of invertible sheaves which have maximal length. In particular, we prove that unlike non-maximal sequences, they (a) remain exceptional under le…
View article: On the finite generation of valuation semigroups on toric surfaces
On the finite generation of valuation semigroups on toric surfaces Open
We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maximal rank. As an application, we construct a lattice polytop…
View article: Cognitive, Mental Health, Functional, and Quality of Life Outcomes 1 Year After Spontaneous Subarachnoid Hemorrhage: A Prospective Observational Study
Cognitive, Mental Health, Functional, and Quality of Life Outcomes 1 Year After Spontaneous Subarachnoid Hemorrhage: A Prospective Observational Study Open
Background Patients with spontaneous subarachnoid hemorrhage (SAH) frequently encounter cognitive dysfunction and mental health issues with negative effects on health-related quality of life (HR-QoL). Here, we aimed to describe the prevale…
View article: Blood Pressure Changes in Association with Nimodipine Therapy in Patients with Spontaneous Subarachnoid Hemorrhage
Blood Pressure Changes in Association with Nimodipine Therapy in Patients with Spontaneous Subarachnoid Hemorrhage Open
View article: Extensions of toric line bundles
Extensions of toric line bundles Open
View article: Exceptional sequences of line bundles on projective bundles
Exceptional sequences of line bundles on projective bundles Open
For a vector bundle $\mathcal E \to \mathbb P^\ell$ we investigate exceptional sequences of line bundles on the total space of the projectivisation $X = \mathbb P(\mathcal E)$. In particular, we consider the case of the cotangent bundle of…
View article: Non-Traumatic Subarachnoid Hemorrhage-Related Acute Hydrocephalus Requiring External Ventricular Drain Placement: Association with Hospital Complications and Functional Outcome
Non-Traumatic Subarachnoid Hemorrhage-Related Acute Hydrocephalus Requiring External Ventricular Drain Placement: Association with Hospital Complications and Functional Outcome Open
View article: Die Infizierung des $\mathbb{Z}^2$
Die Infizierung des $\mathbb{Z}^2$ Open
View article: Polyhedra, lattice structures, and extensions of semigroups
Polyhedra, lattice structures, and extensions of semigroups Open
For an arbitrary rational polyhedron, we consider its decompositions into Minkowski summands and, dual to this, the so-called free extensions of the associated pair of semigroups. Being free for a pair of semigroups is equivalent to flatne…
View article: On the finite generation of valuation semigroups on toric surfaces
On the finite generation of valuation semigroups on toric surfaces Open
We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maximal rank. As an application, we construct a lattice polytop…
View article: Exceptional sequences of 8 line bundles on $$({\mathbb {P}}^1)^3$$
Exceptional sequences of 8 line bundles on $$({\mathbb {P}}^1)^3$$ Open
We investigate maximal exceptional sequences of line bundles on $$({\mathbb {P}}^1)^r$$ , i.e., those consisting of $$2^r$$ elements. For $$r=3$$ we show that they are always full, meaning that they generate the derived …
View article: The structure of exceptional sequences on toric varieties of Picard rank two
The structure of exceptional sequences on toric varieties of Picard rank two Open
For a smooth projective toric variety of Picard rank two we classify all exceptional sequences of invertible sheaves which have maximal length. In particular, we prove that unlike non-maximal sequences, they (a) remain exceptional under le…
View article: Involvement of Specialist Palliative Care in a Stroke Unit in Austria—Challenges for Families and Stroke Teams
Involvement of Specialist Palliative Care in a Stroke Unit in Austria—Challenges for Families and Stroke Teams Open
Purpose: Severe stroke poses vast challenges. Appropriate goals of care according to individual preferences and values have to be developed under time restrictions—often impeded by limited ability to communicate and the need for decisions …
View article: Exceptional sequences of 8 line bundles on (P^1)^3
Exceptional sequences of 8 line bundles on (P^1)^3 Open
We investigate maximal exceptional sequences of line bundles on (P^1)^3, i.e. those consisting of 2^r elements. For r=3 we show that they are always full, meaning that they generate the derived category. Everything is done in the discrete …
View article: Extensions of toric line bundles
Extensions of toric line bundles Open
For any two nef line bundles F and G on a toric variety X represented by lattice polyhedra P respectively Q, we present the universal equivariant extension of G by F under use of the connected components of the set theoretic difference of …
View article: Toric co-Higgs sheaves
Toric co-Higgs sheaves Open
View article: Versality in toric geometry
Versality in toric geometry Open
We study deformations of affine toric varieties. The entire deformation theory of these singularities is encoded by the so-called versal deformation. The main goal of our paper is to construct the homogeneous part of some degree -R of this…
View article: Polyhedra, lattice structures, and extensions of semigroups
Polyhedra, lattice structures, and extensions of semigroups Open
For an arbitrary rational polyhedron we consider its decompositions into Minkowski summands and, dual to this, the free extensions of the associated pair of semigroups. Being free for the pair of semigroups is equivalent to flatness for th…
View article: Toric Higgs sheaves
Toric Higgs sheaves Open
View article: Immaculate line bundles on toric varieties
Immaculate line bundles on toric varieties Open
We call a sheaf on an algebraic variety immaculate if it lacks any cohomology including the zero-th one, that is, if the derived version of the global section functor vanishes. Such sheaves are the basic tools when building exceptional seq…
View article: Displaying the cohomology of toric line bundles
Displaying the cohomology of toric line bundles Open
There is a standard approach to calculate the cohomology of torus-invariant sheaves on a toric variety via the simplicial cohomology of the associated subsets of the space of 1-parameter subgroups of the torus. For a line bundle represente…
View article: Fujita’s Freeness Conjecture for T-Varieties of Complexity One
Fujita’s Freeness Conjecture for T-Varieties of Complexity One Open
We prove Fujita's freeness conjecture for Gorenstein complexity-one $T$-varieties with rational singularities.
View article: Algebraically rigid simplicial complexes and graphs
Algebraically rigid simplicial complexes and graphs Open
We call a simplicial complex algebraically rigid if its Stanley-Reisner ring admits no nontrivial infinitesimal deformations, and call it inseparable if does not allow any deformation to other simplicial complexes. Algebraically rigid simp…