Connectivity and a Problem of Formal Geometry

2014/03/12 by Lucian Bădescu, Lucian Badescu, Badescu, Lucian
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1403.2841

9 pages, to appear in the Proceedings volume "Experimental and Theoretical Methods in Algebra, Geometry and Topology", series Springer Proceedings in Mathematics & Statistics

arxiv created 2014/03/12 · openalex publication_date 2014/03/12 · arxiv updated 2014/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let P=\mathbb P^m(e)×\mathbb Pⁿ(h) be a product of weighted projective spaces, and let Δ_P be the diagonal of P× P. We prove an algebraization result for formal-rational functions on certain closed subvarieties X of P× P along the intersection X∩Δ_P.

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