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Displaying 41 – 60 of 117

The Hilbert Scheme of Buchsbaum space curves

Jan O. Kleppe (2012)

Annales de l’institut Fourier

We consider the Hilbert scheme $H (d, g)$ of space curves $C$ with homogeneous ideal $I (C) : = H_{*}^{0} (ℐ_{C})$ and Rao module $M : = H_{*}^{1} (ℐ_{C})$ . By taking suitable generizations (deformations to a more general curve) $C^{'}$ of $C$ , we simplify the minimal free resolution of $I (C)$ by e.g making consecutive free summands (ghost-terms) disappear in a free resolution of $I (C^{'})$ . Using this for Buchsbaum curves of diameter one ( $M_{v} \neq 0$ for only one $v$ ), we establish a one-to-one correspondence between the set $𝒮$ of irreducible components of $H (d, g)$ that contain $(C)$ and a set of minimal...

The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.

A. Conte, J.P. Murre (1978)

Mathematische Annalen

The indecomposability of H*(G/B, L)

Walter Lawrence Griffith, Jr. (1982)

Colloquium Mathematicae

The infinitesimal M. Noether theorem for singularities

Hubert Flenner (1986)

Compositio Mathematica

The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.

Hubert Flenner (1986)

Mathematische Zeitschrift

The jacobian map, the jacobian group and the group of automorphisms of the Grassmann algebra

Vladimir V. Bavula (2010)

Bulletin de la Société Mathématique de France

There are nontrivial dualities and parallels between polynomial algebras and the Grassmann algebras (e.g., the Grassmann algebras are dual of polynomial algebras as quadratic algebras). This paper is an attempt to look at the Grassmann algebras at the angle of the Jacobian conjecture for polynomial algebras (which is the question/conjecture about the Jacobian set– the set of all algebra endomorphisms of a polynomial algebra with the Jacobian $1$ – the Jacobian conjecture claims that the Jacobian...

The Kevaire Invariant of Hypersurfaces in Complex Projective Spaces.

Shigeyuki Morita (1975)

Commentarii mathematici Helvetici

The Koszul Algebra of a Codimension 2 Embedding.

Jürgen Herzog, Lacezar Avramov (1980)

Mathematische Zeitschrift

The Lazarfeld-Rao property on an arithmetically Gorenstein variety.

Giorgio Bolondi, Juan Carlos Migliore (1993)

Manuscripta mathematica

The Lazarsfeld-Rao problem for Buchsbaum curves

Giorgio Bolondi, Juan C. Migliore (1989)

Rendiconti del Seminario Matematico della Università di Padova

The Local Nash problem on arc families of singularities

Shihoko Ishii (2006)

Annales de l’institut Fourier

This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.

Currently displaying 41 – 60 of 117

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Displaying 41 – 60 of 117

The Hilbert Scheme of Buchsbaum space curves

The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.

The indecomposability of H*(G/B, L)

The infinitesimal M. Noether theorem for singularities

The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.

The jacobian map, the jacobian group and the group of automorphisms of the Grassmann algebra

The Kevaire Invariant of Hypersurfaces in Complex Projective Spaces.

The Koszul Algebra of a Codimension 2 Embedding.

The Lazarfeld-Rao property on an arithmetically Gorenstein variety.

The Lazarsfeld-Rao problem for Buchsbaum curves

The Local Nash problem on arc families of singularities

The Local Torelli Theorem. I. Complete Intersection.

The Milnor fiber and the zeta function of the singularities of type $f = P (h, g)$

The minimal freee resolution of the homogeneous ideal of s general points in P4.

The Modell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3.

The nil Hecke ring and singularity of Schubert varieties.

The non rationality of the generic Enriques' threefold

The normality of closures of conjugacy classes of matrices.

The normality of closures of orbits in a Lie algebra.

The Number of Rational Quartics on Calabi-Yau Hypersurfaces in Weighted Projective Space P (2,1...).

Currently displaying 41 – 60 of 117