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Numerical polar calculus and cohomology of line bundles
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7186-1524
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). KTH, Dept Math, S-10044 Stockholm, Sweden..
Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA..
2018 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 100, p. 148-162Article in journal (Refereed) Published
Abstract [en]

Let L-1,..., L-s be line bundles on a smooth complex variety X subset of P-r and let D-1,..., D-s be divisors on X such that D-i represents L-i. We give a probabilistic algorithm for computing the degree of intersections of polar classes which are in turn used for computing the Euler characteristic of linear combinations of L-1,..., L-s. The input consists of generators for the homogeneous ideals I-X, I-Di subset of C[x(0),..., x(r).] defining X and D-i. 

Place, publisher, year, edition, pages
Academic Press, 2018. Vol. 100, p. 148-162
Keywords [en]
Algebraic varieties, Numerical algebraic geometry, Computer algebra, Line bundles
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-234586DOI: 10.1016/j.aam.2018.06.002ISI: 000442067000008Scopus ID: 2-s2.0-85049920622OAI: oai:DiVA.org:kth-234586DiVA, id: diva2:1248412
Note

QC 20180914

Available from: 2018-09-14 Created: 2018-09-14 Last updated: 2018-09-14Bibliographically approved

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Di Rocco, Sandra

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