Stable harmonic maps into the complex projective spaces

Maps into projective spaces

We compute the cohomology of the Picard bundle on the desingularization J̃ d (Y ) of the compactified Jacobian of an irreducible nodal curve Y . We use it to compute the cohomology classes of the Brill–Noether loci in J̃ d (Y ). We show that the moduli space M of morphisms of a fixed degree from Y to a projective space has a smooth compactification. As another application of the cohomology of the...

Spaces of algebraic maps from real projective spaces into complex projective spaces

We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. It was already shown in [1] that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural ‘degree’ filtration approximate closer and closer the homotopy type of the space o...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Biquaternions Lie Algebra and Complex-Projective Spaces

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Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces

We investigate the rational homotopy classification problem for the components of some function spaces with Sn or cPn as target space.