P. Katsylo

activity

19982003

collaborators

3 papers

math.DG2003

On Curvatures of Sections of Tensor Bundles

P. I. Katsylo

We consider natural differential operations acting on sections of tensor vector bundles. Arrising problems can be reformulated as invariant theoretical problems (the IT-reduction).…

math.AG1999

Regularity of the Moduli Space of Instanton Bundles $M I_{P^{3}} (5)$

Pavel I. Katsylo, Giorgio Ottaviani

We prove that the moduli space of mathematical instanton bundles on $P^{3}$ with $c_{2} = 5$ is smooth.

math.AG1998

On the Variety of Rational Curves of Degree $d$ in $P^{n}$

Pavel Katsylo

We construct the canonical structure of an irreducible projective variety on the set of connected curves of degree $d$ in $P^{n}$ with rational components (some components can b…

On Curvatures of Sections of Tensor Bundles

Regularity of the Moduli Space of Instanton Bundles MIP3​(5)

On the Variety of Rational Curves of Degree d in Pn

Regularity of the Moduli Space of Instanton Bundles $M I_{P^{3}} (5)$

On the Variety of Rational Curves of Degree $d$ in $P^{n}$