In this paper a new example of quasi–Hermitian variety V in PG(r, q) is provided, where q is an odd power of 2. In higherdimensional spaces, V can be viewed as a generalization of the Buekenhout-Tits unital in the desarguesian projective plane; see [9].

We consider the moduli space MN of flat unitary connections on an open Kähler manifold U (complement of a divisor with normal crossings) with restrictions on their monodromy transformations. Using intersection cohomology with degenerating coefficients we construct a natural closed 2-form F on MN . When U is quasi-projective we prove that F is actually a Kähler form.

In this paper, we introduce a new type of a projective algorithm for a pair of quasi-φ-nonexpansive mappings. We establish strong convergence theorems of common fixed points in uniformly smooth and strictly convex Banach spaces with the property(K). Our results improve and extend the corresponding results announced by many others. AMS subject classifications: 47H09, 47H10

Let $R$ be a ring and $M$ a right $R$-module with $S=End_R(M)$. A module $M$ is called semi-projective if for any epimorphism $f:Mrightarrow N$, where $N$ is a submodule of $M$, and for any homomorphism $g: Mrightarrow N$, there exists $h:Mrightarrow M$ such that $fh=g$. In this paper, we study SGQ-projective and $pi$-semi-projective modules as two generalizations of semi-projective modules. A ...

1. Introduction This paper focuses on the properties of Schubert cells as quasi-projective subva-rieties of a generalized ag variety. More speciically, we investigate the problem of distinguishing between diierent Schubert cells using vanishing patterns of generalized Pl ucker coordinates.

We show that the sectional capacity of an adelic subset of a projective variety over a number field is a quasi-canonical limit of arithmetic top self-intersection numbers, and we establish the functorial properties of extremal plurisubharmonic Green’s functions. We also present a conjecture that the sectional capacity should be a top selfintersection number in an appropriate adelic arithmetic i...

We recall our construction of fundamental classes in the algebraic cobordism of smooth quasi-projective varieties, and show by examples that it is not possible to extend this to fundamental classes, functorial for local complete intersection morphisms, for Cohen-Macaulay varieties.

Given a smooth projective toric variety X, we construct an A∞ category of Lagrangians with boundary on a level set of the Landau-Ginzburg mirror of X. We prove that this category is quasi-equivalent to the DG category of line bundles on X.

In this paper, we describe the global structure of webs in codimension one, and study in particular their singularities (the caustic). We define and study different concepts which have no interest locally near regular points, such as the type, the reducibility, the quasi-smoothness, the CIproperty (complete intersection), the dicriticity.... As an example of application, we explain how the alge...

A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characte...