A survey of Ulrich bundles

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Coşkun E.

Conference on Analytic and Algebraic Geometry, Mumbai, Hindistan, 16 - 20 Mart 2015, ss.85-106, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Mumbai
  • Basıldığı Ülke: Hindistan
  • Sayfa Sayıları: ss.85-106
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The purpose of this article is to serve as an introduction to Ulrich bundles for interested readers. We discuss the origins of the study of Ulrich bundles, their elementary properties, and we give an exposition of the known results in their classification on various kinds of smooth projective varieties. As an illustration of a method recently used by Marta Casanellas and Robin Hartshorne for the classification of Ulrich bundles on a cubic surface, we classify the stable Ulrich bundles on a smooth quartic surface in P^3 of Picard number 2 by first Chern class.