We introduce the notion of the projective linking number LinkP(Γ, Z) of a compact oriented real submanifold Γ of dimension 2p − 1 in complex projective n-space P with an algebraic subvariety Z ⊂ P − Γ of codimension p. This notion is related to projective winding numbers and quasi-plurisubharmonic functions, and it generalizes directly from P to any projective manifold. Part 1 of this paper est...

We proved in Theorem 3. 15 b that free modules have the precise same property that. projective modules 2 attributes to projective modules. In fact, it is easy to use.BIG PROJECTIVE MODULES ARE FREE. Finitely generated proiective modules rise significantly in certain geometric nd.dorff space X and finitely generated projective modules over the ring of continuous real-valued functions on X. A num...

Let p be a prime number, and let k an algebraically closed field of characteristic p. We show that the tame fundamental group smooth affine curve over is projective profinite group. prove variety finitely presented; more generally, quasi-projective k, which admits good compactification, presented.

We prove that every separated Artin stack of finite type over a noetherian base scheme admits a proper covering by a quasi–projective scheme. An application of this result is a version of the Grothendieck existence theorem for Artin stacks.

Introduction. We shall consider exclusively algebraic non-singular quasi-projective irreducible varieties over an algebraically closed field. If V is such a variety a(v) will be the Chow ring of rational equivalence classes of cycles of V and

In this paper we prove that the dimension of the bounded derived category of coherent sheaves on a smooth quasi-projective curve is equal to one. We also discuss dimension spectrums of these categories. 2000 Math. Subj. Class. 18E30, 14F05.

We give a survey of properties of the monodromy of local systems on quasi-projective varieties which underlie a variation of Hodge structure. In the last section a less widely known version of a NoetherLefschetz type theorem is discussed.

We present several aspects of the “topology of meromorphic functions”, which we conceive as a general theory which includes the topology of holomorphic functions, the topology of pencils on quasi-projective spaces and the topology of polynomial functions.

Evaluators and researchers often have to deal with situations in which conventional research tools are impossible to use, either because of the characteristics of a population or unclear research variables. This paper presents a technique that succeeds in overcoming this kind of problem--a projective technique, but one that differs from the usual approach to projective techniques. The approach ...

During recent years, several studies have revealed that human-dog relationships are based on a well-established and complex bond. There is now evidence suggesting that the dog-human affectional bond can be characterized as an "attachment". The present study investigated possible association between the owners' attachment profile assessed throughout a new semi-projective test (the 9 Attachment P...