AbstractThe present research grew out of the authors' joint work [M. Brodmann, P. Schenzel, Arithmetic properties of projective varieties of almost minimal degree, J. Algebraic Geom., in press]. It continues the study of the structure of projective varieties of almost minimal degree, focusing to the case of small codimension. In particular, we give a complete list of all occurring Betti diagrams in the cases where codimX⩽4
Abstract. We prove that if X ⊂ Pr is any 2-regular scheme (in the sense of Castelnuovo-Mumford) then...
let IP" be thc u-dimensional projcctive spacc over an algebraically closcd field. We consider rcduce...
AbstractA relatively compressed algebra with given socle degrees is an Artinian quotient A of a give...
Abstract. In this article we study the problem to determine all occur-ring Betti diagrams of varieti...
Abstract. To complete the classification theory and the structure theory of varieties of almost mini...
The classification of all projective varieties of minimal degree is due to the successive contribut...
Many classical results in algebraic geometry arise from investigating some extremal behaviors that a...
Let E be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth sub...
AbstractIn this article we study non-linearly normal smooth projective varieties X⊂Pr of deg(X)=codi...
To provide a geometrical description of the classification theory and the structure theory of variet...
In the present paper, we consider upper bounds of higher linear syzygies i.e. graded Betti numbers i...
AbstractTo provide a geometrical description of the classification theory and the structure theory o...
AbstractThe problem under consideration in this paper is that of finding a structure theory for vari...
The Minimal Resolution Conjecture (MRC) for points on a projective varietyX ⊂ Pr predicts that the m...
AbstractIn this paper we prove, using a refinement of Terracini's Lemma, a sharp lower bound for the...
Abstract. We prove that if X ⊂ Pr is any 2-regular scheme (in the sense of Castelnuovo-Mumford) then...
let IP" be thc u-dimensional projcctive spacc over an algebraically closcd field. We consider rcduce...
AbstractA relatively compressed algebra with given socle degrees is an Artinian quotient A of a give...
Abstract. In this article we study the problem to determine all occur-ring Betti diagrams of varieti...
Abstract. To complete the classification theory and the structure theory of varieties of almost mini...
The classification of all projective varieties of minimal degree is due to the successive contribut...
Many classical results in algebraic geometry arise from investigating some extremal behaviors that a...
Let E be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth sub...
AbstractIn this article we study non-linearly normal smooth projective varieties X⊂Pr of deg(X)=codi...
To provide a geometrical description of the classification theory and the structure theory of variet...
In the present paper, we consider upper bounds of higher linear syzygies i.e. graded Betti numbers i...
AbstractTo provide a geometrical description of the classification theory and the structure theory o...
AbstractThe problem under consideration in this paper is that of finding a structure theory for vari...
The Minimal Resolution Conjecture (MRC) for points on a projective varietyX ⊂ Pr predicts that the m...
AbstractIn this paper we prove, using a refinement of Terracini's Lemma, a sharp lower bound for the...
Abstract. We prove that if X ⊂ Pr is any 2-regular scheme (in the sense of Castelnuovo-Mumford) then...
let IP" be thc u-dimensional projcctive spacc over an algebraically closcd field. We consider rcduce...
AbstractA relatively compressed algebra with given socle degrees is an Artinian quotient A of a give...
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