Tangent Weights and Invariant Curves in Type A Bow Varieties

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• ISSN: 1815-0659
• Hauptverfasser: Foster, Alexander, Shou, Yiyan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212875
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Tangent Weights and Invariant Curves in Type A Bow Varieties. Alexander Foster and Yiyan Shou. SIGMA 21 (2025), 016, 33 pages

This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also...