Presented By: Student Algebraic Geometry Seminar - Department of Mathematics
Student Algebraic Geometry: Phantoms in Derived Categories
Sridhar Venkatesh
Let X be a smooth projective variety and D^b_{coh}(X) denote the bounded derived category of coherent sheaves on X. An admissible subcategory A of D^b_{coh}(X) is said to be a phantom if its Grothendieck group vanishes. I will describe a recent result of Krah, which proves the existence of a phantom on P^2 blown up at 10 points.
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