The broadcast flag is supposed to protect digital broadcast content from unauthorized distribution. This paper critically examines the broadcast flag as a security mechanism in the context of digital content control. A threat model analysis from the computer security field is presented as a framework for evaluating the flag. The model identifies stated and potential goals of the flag’s proponen...

The flag f-vectors of three-colored complexes are characterized. This also characterizes the flag h-vectors of balanced Cohen-Macaulay complexes of dimension two, as well as the flag h-vectors of balanced shellable complexes of dimension two.

In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.

Abstract Eutrophication remains an environmental challenge in lagoons along the Southern Baltic Sea. Floating islands planted with emergent macrophytes are option to remove nutrients from eutrophicated waters. Furthermore, floating wetlands offer other ecosystem services such as provision of habitats. Numerous scientific studies have been conducted; however most remain on laboratory scale. This...

The notion of holomorphic bi-flag curvature for a complex Finsler space (M, F ) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. By means of holomorphic curvature and holomorphic flag curvature of a complex Finsler space, a special approach is devoted to obtain the characterizations of the holomorphic bi-flag curvature. For the class of generalized...

A geometric extension algebra is an extension algebra of a semi-simple perverse sheaf (allowing shifts), e.g. a push-forward of the constant sheaf under a projective map. Particular nice situations arise for collapsings of homogeneous vector bundle over homogeneous spaces. In this paper, we study the relationship between partial flag and complete flag cases. Our main result is that the locally ...

The field of cybersecurity is adversarial – the real challenge lies in outsmarting motivated and knowledgeable human attackers. Sadly, this aspect is missing from current cybersecurity classes, which are often taught through lectures and occasionally through “get your feet wet” practical exercises. We propose Class Capture-theFlag exercises (CCTFs) to revitalize cybersecurity education. These a...

In a seminal 1994 paper [20], Lusztig extended the theory of total positivity by introducing the totally non-negative part (G/P )≥0 of an arbitrary (generalized, partial) flag variety G/P . He referred to this space as a “remarkable polyhedral subspace,” and conjectured a decomposition into cells, which was subsequently proven by the first author [27]. In this article we use discrete Morse theo...