Varieties with one apparent double point

DOI10.1090/S1056-3911-03-00355-2zbMath1077.14076arXivmath/0210008MaRDI QIDQ4831697

Francesco Russo, Massimiliano Mella, Ciro Ciliberto

Publication date: 3 January 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210008

zbMATH Keywords

adjunctionrational normal scrollsCremona transformationsMukai varietiesedge varieties

Mathematics Subject Classification ID

(3)-folds (14J30) Projective techniques in algebraic geometry (14N05) (n)-folds ((n>4)) (14J40)

Related Items

Rationality of even-dimensional intersections of two real quadrics, Threefolds with one apparent double point, Fano congruences of index 3 and alternating 3-forms, A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture, On special quadratic birational transformations whose base locus has dimension at most three, On special quadratic birational transformations of a projective space into a hypersurface, Pasquale del Pezzo, Duke of Caianello, Neapolitan mathematician, Decomposition of homogeneous polynomials with low rank, A Severi type theorem for surfaces in $\mathbb {P}^6$, On the identifiability of binary Segre products, Identifiability of rank-3 tensors, Special cubic birational transformations of projective spaces, Dependent subsets of embedded projective varieties, Varieties with quadratic entry locus. I, On the classification of OADP varieties, Singularities of linear systems and the Waring problem, On the automorphisms of Mukai varieties, Varieties with minimal secant degree and linear systems of maximal dimension on surfaces

Cites Work

• On varieties whose degree is small with respect to codimension
• Classification of algebraic surfaces with sectional genus less than or equal to six. I: Rational surfaces
• Varieties with small dual varieties. I
• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• On the 2-connectedness of very ample divisors on a surface
• Classification of projective surfaces with small sectional genus: \(\text{char} p\geq 0\)
• Cremona transformations and syzygies
• Threefolds in \(\mathbb{P}^ 5\) with a 3-dimensional family of plane curves
• On a theorem of Severi
• Weakly defective varieties
• On the arithmetic genera and the effective genera of algebraic curves
• Some Special Cremona Transformations
• Generalized adjunction and applications
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• FANO 3-FOLDS. II
• Algebraic geometry and local differential geometry
• FANO 3-FOLDS. I
• Projective varieties with many degenerate subvarieties
• Special subhomaloidal systems of quadrics and varieties with one apparent double point
• Existence of good divisors on Mukai varieties
• On the Symmetric Product of a Rational Surface
• The T _2,4 of S ₆ Defined by a Rational Surface ³ F ⁸
• Threefolds whose canonical bundles are not numerically effective
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item