Secant non-defectivity via collisions of fat points
DOI10.1016/j.aim.2022.108657zbMath1503.14049arXiv2104.02522OpenAlexW3149460836MaRDI QIDQ2089640
Francesco Galuppi, Alessandro Oneto
Publication date: 24 October 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.02522
fat pointssecant varietiesdegeneration techniquesSegre-Veronese varietieslinear systems of divisorsdefectivity
Computational aspects of higher-dimensional varieties (14Q15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special varieties (14M99) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Hypersurfaces and algebraic geometry (14J70) Secant varieties, tensor rank, varieties of sums of powers (14N07)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On non-defectivity of certain Segre-Veronese varieties
- Higher secant varieties of \(\mathbb P^n \times \mathbb P^n\) embedded in bi-degree \((1,d)\)
- Special effect varieties in higher dimension
- On Waring's problem for several algebraic forms
- On the dimensions of secant varieties of Segre-Veronese varieties
- Identifiability of homogeneous polynomials and Cremona transformations
- Collisions of fat points and applications to interpolation theory
- The Hitchhiker guide to: secant varieties and tensor decomposition
- On the ideals of secant varieties to certain rational varieties
- On the Alexander-Hirschowitz theorem
- Segre-Veronese embeddings of \(\mathbb P^1\times\mathbb P^1\times\mathbb P^1\) and their secant varieties
- Secant Varieties of Segre–Veronese Varieties ℙm× ℙnEmbedded byO(1, 2)
- About the Defectivity of Certain Segre–Veronese Varieties
- Calculs de dimensions de systèmes linéaires de courbes planes par collisions de gros points
- Joins and Intersections
- Higher Secant Varieties of ℙn × ℙ1Embedded in Bi-Degree (a,b)
- Four Lectures on Secant Varieties
