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On the Hall algebra of coherent sheaves on P^1 over F_1
Hall algebra coherent sheaves P^1 over F_1
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2010/12/8
Using a model of schemes over F1 in the spirit of Deitmar and Haran, we study the categoryCoh(P1) of coherent sheaves onP1 overF1. This category resembles in most ways a finitary abelian category, but...
Braid group actions on derived categories of coherent sheaves
Braid group derived categories coherent sheaves
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2010/10/29
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together wit...