O čtrnáctém Hilbertově problému
O pätnástom Hilbertovom probléme
Observations on harmonic maps and singular varieties
Obstructions to deforming curves on a -fold, II: Deformations of degenerate curves on a del Pezzo -fold
We study the Hilbert scheme of smooth connected curves on a smooth del Pezzo -fold . We prove that any degenerate curve , i.e. any curve contained in a smooth hyperplane section of , does not deform to a non-degenerate curve if the following two conditions are satisfied: (i) and (ii) for every line on such that , the normal bundle is trivial (i.e. ). As a consequence, we prove an analogue (for ) of a conjecture of J. O. Kleppe, which is concerned with non-reduced components...
On 2-Spannedness for the adjunction mapping.
On a cell decomposition of the Hilbert scheme of points in the plane.
On a conjecture of Mukai.
On a generalization of Hilbert's 21st problem
On a Geometric Interpretation of Multiplicity.
On a linearity criterion for algebraic systems of divisors on a projective variety
In the present paper, it is established in any characteristic the validity of a classical theorem of Enriques', stating the linearity of any algebraic system of divisors on a projective variety, which has index 1 and whose generic element is irreducible, as soon as its dimension is at least 2.
On a result of Farkas.
On a Special Class of Non Complete Webs
In this article, we introduce a special class of non complete webs, the NN-webs. We also study the algebraic and geometric properties of these webs.
On a Theorem of Castelnuovo, and the Equations Defining Space Curves.
On an infinitesimal invariant of normal.
On Automorphic Forms and Hodge Theory.
On Bertini's theorem.
On b-function, spectrum and rational singularity.
On blowing down projective spaces in singular varieties.
On Castelnuovo's equivalence defect.
On Chow rings of fine moduli spaces of modules.