The homogeneous coordinate ring of the quantum projective plane

Details The homogeneous coordinate ring of the quantum projective plane The homogeneous coordinate ring of the quantum projective plane

2010-07-19

arxiv.org/abs/1007.3255v2

J. Geom. Phys. Volume 61, Issue 1, January 2011, Pages 276-289

Mathematics

Quantum Algebra

A new section added. Results are now extended to L^2-sections of the canonical line bundles

Scientific paper

We define holomorphic structures on canonical line bundles on the quantum
projective plane. The space of holomorphic sections of these line bundles will
determine the quantum homogeneous coordinate ring of $\qp^2_q$. We also show
that the holomorphic structure of $\qp^2_q$ is naturally represented by a
twisted positive Hochschild 4-cocycle.

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