Bounds on Hilbert Functions
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. In the second paper, we generalize the Green’s Hyperplane Restriction Theorem to the case of modules over the polynomial ring.
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. , vii, 22 p.
Trita-MAT. MA, ISSN 1401-2278 ; 13:03
Hilbert Functions, Commutative Algebra
Mathematics Algebra and Logic
IdentifiersURN: urn:nbn:se:kth:diva-133942ISBN: 978-91-7501-901-7OAI: oai:DiVA.org:kth-133942DiVA: diva2:664101
2013-11-11, 3418, Lindstedtsvägen 25, KTH, Stockholm, 10:00 (English)
Conca, Aldo, Professor
Boij, Mats, Professor
QC 201311142013-11-142013-11-132013-11-14Bibliographically approved
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