2016/03/30 by David Chataur, Chataur, David, Joana Cirici +1
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #32S35 #55N33 #55P62 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1603.09125
openalex publication_date 2016/03/30 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
A homotopical treatment of intersection cohomology recently developed by\nChataur-Saralegui-Tanr 'e associates a "perverse algebraic model" to every\ntopological pseudomanifold, extending Sullivan's presentation of rational\nhomotopy to intersection cohomology. In this context, there is a notion of\n"intersection-formality", measuring the vanishing of Massey products in\nintersection cohomology. In the present paper, we study the perverse algebraic\nmodel of complex projective varieties with isolated singularities. We endow\nsuch invariant with natural mixed Hodge structures. This allows us to prove\nsome intersection-formality results for large families of complex projective\nvarieties, such as isolated surface singularities and varieties of arbitrary\ndimension with ordinary isolated singularities.\n