3 papers
math.AG2025
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}…
math.AG2025
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…
math.AG2024
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 the…