4 papers
Secant rank and syzygies of projections of elliptic normal curves
Changho Han, Euisung Park
We study the syzygies of projections of elliptic normal curves. Let be an elliptic normal curve of degree , and let denote the projectio…
Rank 3 Quadratic Generators of Veronese Embeddings: The Characteristic 3 Case
Donghyeop Lee, Euisung Park, Saerom Sim
This paper investigates property QR(3) for Veronese embeddings over an algebraically closed field of characteristic . We determine the rank index of $(\mathbb{P}^n , \mathcal{O}…
On quadratic persistence and Pythagoras numbers of totally real projective varieties
Jong In Han, Jaewoo Jung, Euisung Park
In this paper, we study the relationship between quadratic persistence and the Pythagoras number of totally real projective varieties. Building upon the foundational work of Blekhe…
On rank 3 quadratic equations of Veronese varieties
Euisung Park, Saerom Sim
This paper studies the geometric structure of the locus of rank quadratic equations of the Veronese variety . Specifically, we investigate t…