Extensions of homogeneous coordinate rings to $A_{\infty}$-algebras

Mathematics – Algebraic Geometry

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14 pages, AMSLatex

Scientific paper

We study $A_{\infty}$-structures extending the natural algebra structure on the cohomology of $\oplus_n L^n$, where $L$ is a very ample line bundle on a projective $d$-dimensional variety $X$ such that $H^i(X,L^n)=0$ for $0

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