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math.AG2007
Rank 2 vector bundles on ind-Grassmannians
Ivan Penkov, Alexander S. Tikhomirov
The simplest example of an ind-Grassmannian is the infinite projective space . The Barth-Van de Ven-Tyurin (BVT) Theorem, proved more than 30 years ago \cite{BV},…
math.AG2007★ 1 cited
Triviality of vector bundles on sufficiently twisted ind-Grassmannians
Ivan Penkov, Alexander S. Tikhomirov
Twisted ind-Grassmannians are ind-varieties $\GG$ obtained as direct limits of Grassmannians , for $m\in\ZZ_{>0}$, under embeddings $ϕ_m:G(r_m,V^{r_m})\to G(r_{m+1}…