Extensions of homogeneous coordinate rings to $A_{\infty}$-algebras
| dc.creator | Polishchuk, Alexander | |
| dc.date | 2003-02-14 | |
| dc.date | 2003-09-15 | |
| dc.date.accessioned | 2026-07-07T04:55:19Z | |
| dc.date.available | 2026-07-07T04:55:19Z | |
| dc.description | 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 $0<i<d$ and all $n$. We prove that there exists a unique such nontrivial $A_{\infty}$-structure up to homotopy and rescaling. In the case when $X$ is a curve we also compute the group of self-homotopies of this $A_{\infty}$-structure. | |
| dc.description | 14 pages, AMSLatex | |
| dc.identifier | https://arxiv.org/abs/math/0302178 | |
| dc.identifier | http://arxiv.org/abs/math/0302178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66533 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Extensions of homogeneous coordinate rings to $A_{\infty}$-algebras | |
| dc.type | text |