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

Bielawski, Roger; Schwachhöfer, Lorenz

doi:10.1090/S0002-9939-2013-11706-5

Sheaves on $\mathbb {P}^1\times \mathbb {P}^1$, bigraded resolutions, and coadjoint orbits of loop groups
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by Roger Bielawski and Lorenz Schwachhöfer

Proc. Amer. Math. Soc. 141 (2013), 4155-4167

DOI: https://doi.org/10.1090/S0002-9939-2013-11706-5

Published electronically: August 20, 2013

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Abstract:

We construct a canonical linear resolution of acyclic $1$-dimensional sheaves on $\mathbb {P}^1\times \mathbb {P}^1$ and discuss the resulting natural Poisson structure.

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