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SEMINARS |
Category Theory and its Applications
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On the definition of noncommutative del Pezzo surfaces Shinnosuke Okawa Osaka University |
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Abstract: Noncommutative projective planes and noncommutative quadrics have clear definitions as the category qgr of 3-dimensional Artin-Schelter regular quadratic (resp. cubic) Z-algebras. Other noncommutative del Pezzo surfaces lack a definition of this sort, but are constructed by blowing up noncommutative projective planes. In this talk I will talk about an attempt toward a definition of noncommutative del Pezzo surfaces without using blowups. This is a joint work in progress with Tarig Abdelgadir and Kazushi Ueda. |