Sheaves on P^1 x P^1, bigraded resolutions, and coadjoint orbits of loop groups

arxiv: 1106.5049 · v1 · pith:NZF4DWQAnew · submitted 2011-06-24 · 🧮 math.SG · math.AG

Sheaves on P¹ x P¹, bigraded resolutions, and coadjoint orbits of loop groups

Roger Bielawski , Lorenz Schwachh\"ofer This is my paper

classification 🧮 math.SG math.AG

keywords sheavesacyclicbigradedcanonicalcoadjointconstructdimensionaldiscuss

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We construct a canonical linear resolution of acyclic 1-dimensional sheaves on P^1 x P^1 and discuss the resulting natural Poisson structure.

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