We consider a family of slightly extended version of the Raynaud’s surfaces X over the field of positive characteristic with Mumford-Szpiro type polarizations Z, which have Kodaira non-vanishing H(X,Z) 6= 0. The surfaces are at least normal but smooth under a special condition. We compute the cohomologies H(X,Z) for i, n ∈ Z and study their (non-)vanishing. Finally, we give a fairly large famil...

By a combination of geometrical and configurational analysis we study the properties of absolute minimal and equilibrium states of general Mumford-Shah functionals, with applications to models of quasistatic brittle fracture propagation. The main results concern the mathematical relations between physical quantities as energy release rate and energy concentration for 3D cracks with complex shap...

Arguing against the claim that every dispositional property is grounded in some property other than itself, Stephen Mumford presents what he calls the ‘Ungrounded Argument’. If successful, the Ungrounded Argument would represent a major victory for anti-Humean metaphysics against its Humean rivals, as it would allow for the existence of primitive modality. Unfortunately, Humeans need not yet be...

We study a variational problem arising in the approach of Mumford and Shah to the image segmentation problem of computer vision Given f L D for a domain D in R the simpli ed Mumford Shah energy associated to a decompositionD N is

Khyati Patel Brijesh Shah

Ismail Kadare, the most famous writer of today's Albanian literature, is also one writers contemporary literature in general. Therefore, whenever we mention this genius belles-letters, first all our mind goes to his work, its structure, themes, characters, actions and events, words messages, course, artistic features. Although it rare come across works any other author a literary approach that ...