Ulrich trichotomy on del Pezzo surfaces

COŞKUN E., Genc O.

ADVANCES IN GEOMETRY, cilt.23, sa.1, ss.51-68, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/advgeom-2022-0024
  • Dergi Adı: ADVANCES IN GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.51-68
  • Anahtar Kelimeler: Algebraic geometry, quiver representation., Ulrich bundle, vector bundle
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We use a correspondence between Ulrich bundles on a projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the Ulrich trichotomy, for any given polarization.