Secant varieties of Segre-Veronese embeddings of (P^1)^r
Antonio Laface, Elisa Postinghel
TL;DR
This paper introduces a double degeneration technique to determine the dimension of secant varieties for Segre-Veronese embeddings of (P^1)^r, advancing understanding in algebraic geometry.
Contribution
It presents a novel double degeneration method for computing secant variety dimensions of Segre-Veronese embeddings of (P^1)^r.
Findings
Successfully computes dimensions for various embeddings
Provides a general approach applicable to multiple cases
Enhances theoretical understanding of secant varieties
Abstract
We use a double degeneration technique to calculate the dimension of the secant variety of any Segre-Veronese embedding of (P^1)^r
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsTensor decomposition and applications · Meromorphic and Entire Functions · Algebraic Geometry and Number Theory