Determinantal Barlow surfaces and phantom categories
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Seminar
Pawel Sosna (Hamburg) - Seminar Algebaische Geometrie (SAG)
| What |
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|---|---|
| When |
Apr 18, 2013 from 10:30 am to 11:30 am |
| Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
| Contact Name | sachinid |
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Determinantal Barlow surfaces and phantom categories I will report on the construction of an exceptional collection of maximal length 11 on the Barlow surface S. This can be used to show that in a small neighbourhood of S in the moduli space of determinantal Barlow surfaces, the generic surface has a semiorthogonal decomposition of its derived category into a length 11 exceptional sequence and a category with trivial Grothendieck group and Hochschild homology, called a phantom category. This is joint work with Christian Boehning, Hans-Christian Graf von Bothmer and Ludmil Katzarkov.
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