We show that the efficiency of a natural pairing between certain projectively invariant Hardy spaces on dual strongly C-linearly convex real hypersurfaces in complex projective space is measured by the norm of the corresponding Leray transform.

With any surjective rational map \(f: \mathbb {P}^n \dashrightarrow {P}^n\) of the projective space, we associate a numerical invariant (ML degree) and compute it in terms naturally defined vector bundle \(E_f \longrightarrow {P}^n\).

Recently, Yekutieli introduced projective dimension, injective dimension and flat of DG-modules by generalizing the characterization ordinary modules vanishing Ext or Tor-groups. In this paper, we introduce a DG-version projective, resolution for over connective DG-algebra which are different from known resolutions. An important feature these resolutions is that, roughly speaking, “length” give...

Let $mathcal{X}$ be a class of $R$-modules‎. ‎In this paper‎, ‎we investigate ;$mathcal{X}$-injective (projective) and DG-$mathcal{X}$-injective (projective) complexes which are generalizations of injective (projective) and DG-injecti‎‎ve (projective) complexes‎. ‎We prove that some known results can be extended to the class of ;$mathcal{X}$-injective (projective) and DG-$mathcal{X}$-injective ...

We investigate the properties of projective semisymmetric connections of a Riemannian manifold. Some interesting results with respect to the invariant of this semi-symmetric connection are given. Mathematics Subject Classification: 53C12