2019/03/31 by Botong Wang, Wang, Botong
Computer Science · Mathematics · #14F05 #14F17 #32S60 #55N25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1904.00449
openalex publication_date 2019/03/31 · openalex created_date 2019/04/11 · openalex updated_date 2026/07/28
We construct irreducible complex projective varieties such that the Lyubeznik numbers of their affine cones depend on the choices of projective embeddings. The main ingredient is the recent work of Reichelt-Saito-Walther, where the Lyubeznik numbers are reinterpreted using perverse sheaves and reducible projective varieties with dependent Lyubeznik numbers are constructed.