Quadratic Varieties of Small Codimension

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Watanabe, Kiwamu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213531
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quadratic Varieties of Small Codimension. Kiwamu Watanabe. SIGMA 21 (2025), 045, 14 pages

Let ⊂ ℙⁿ⁺ᶜ be a nondegenerate smooth projective variety of dimension defined by quadratic equations. For such varieties, P. Ionescu and F. Russo proved the Hartshorne conjecture on complete intersections, which states that is a complete intersection provided that ≥ 2 + 1. As the extreme case, th...