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math.AG2025
Degree of the Grassmannian as an affine variety
Lek-Heng Lim, Ke Ye
The degree of the Grassmannian with respect to the Plücker embedding is well-known. However, the Plücker embedding, while ubiquitous in pure mathematics, is almost never used in…
math.AG2024
Rational Curves on Real Classical Groups
Zijia Li, Ke Ye
This paper is concerned with rational curves on real classical groups. Our contributions are three-fold: (i) We determine the structure of quadratic rational curves on real classic…