Volumes of line bundles as limits on generically nonreduced schemes

DOI10.1216/rmj.2022.52.2129OpenAlexW4313233224MaRDI QIDQ2678289

Roberto Alonso Núñez

Publication date: 9 January 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08249

zbMATH Keywords

projective schemevolume of line bundle

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40)

Cites Work

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• Asymptotic multiplicities of graded families of ideals and linear series
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• On a problem of Zariski on dimensions of linear systems
• Convex bodies associated to linear series
• Introduction to Algebraic Geometry
• Volumes of line bundles on schemes
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Some Fundamental Lemmas on Projective Schemes
• Higher-dimensional algebraic geometry

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