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Extremal behavior in sectional matrices
| Title: | Extremal behavior in sectional matrices |
| Authors: | Bigatti, Anna Browse this author | | Palezzato, Elisa Browse this author | | Torielli, Michele Browse this author |
| Keywords: | Sectional matrix | | Hilbert function | | hyperplane section | | generic initial ideal | | reduction number | | extremal behavior |
| Issue Date: | Mar-2019 |
| Publisher: | World Scientific Publishing |
| Journal Title: | Journal of algebra and its applications |
| Volume: | 18 |
| Issue: | 3 |
| Start Page: | 1950041 |
| Publisher DOI: | 10.1142/S0219498819500415 |
| Abstract: | In this paper, we recall the object sectional matrix which encodes the Hilbert functions of successive hyperplane sections of a homogeneous ideal. We translate and/or reprove recent results in this language. Moreover, some new results are shown about their maximal growth, in particular, a new generalization of Gotzmann's Persistence Theorem, the presence of a GCD for a truncation of the ideal, and applications to saturated ideals. |
| Rights: | Electronic version of an article published as Journal of Algebra and Its Applications, Vol. 18, No. 03, 1950041 (2019) https://doi.org/10.1142/S0219498819500415 ©World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/jaa |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/76830 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: TORIELLI Michele
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