** On $r$-dimensional projective space

Monads on Projective Space

The Space of Morphisms on Projective Space

The theory of moduli of morphisms on P generalizes the study of rational maps on P1. This paper proves three results about the space of morphisms on P of degree d > 1, and its quotient by the conjugation action of PGL(n + 1). First, we prove that this quotient is geometric, and compute the stable and semistable completions of the space of morphisms. This strengthens previous results of Silverma...

Vector Bundles on Projective Space

Let X be a (quasi-projective) variety over k. We follow [Sha13, Chap. 6, §1.2].

On Projective Two - Dimensional Finsler

Kähler–Einstein submanifolds of the infinite dimensional projective space

This paper consists of two main results. In the first one we describe all Kähler immersions of a bounded symmetric domain into the infinite dimensional complex projective space in terms of the Wallach set of the domain. In the second one we exhibit an example of complete and nonhomogeneous Kähler-Einstein metric with negative scalar curvature which admits a Kähler immersion into the infinite di...