Academic Journal
Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial
| العنوان: | Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial |
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| المؤلفون: | Cioffi, F., Lella, P., Marinari, M. G., Roggero, M. |
| المساهمون: | Cioffi, F., Lella, P., Marinari, M. G., Roggero, M. |
| سنة النشر: | 2015 |
| المجموعة: | RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano |
| مصطلحات موضوعية: | Borel ideal, Castelnuovo-Mumford regularity, closed projective subscheme, Hilbert polynomial, minimal function, regularity of a Hilbert function |
| الوصف: | Let $K$ be an algebraically closed field of null characteristic and $p(z)$ a Hilbert polynomial. We look for the minimal Castelnuovo-Mumford regularity $m_{p(z)}$ of closed subschemes of projective spaces over $K$ with Hilbert polynomial $p(z)$. Experimental evidences led us to consider the idea that $m_{p(z)}$ could be achieved by schemes having a suitable minimal Hilbert function. We give a constructive proof of this fact. Moreover, we are able to compute the minimal Castelnuovo-Mumford regularity $m_p(z)$ of schemes with Hilbert polynomial $p(z)$ and given regularity of the Hilbert function, and also the minimal Castelnuovo-Mumford regularity $m_u$ of schemes with Hilbert function $u$. These results find applications in the study of Hilbert schemes. They are obtained by means of minimal Hilbert functions and of two new constructive methods which are based on the notion of growth-height-lexicographic Borel set and called ideal graft and extended lifting. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000362653800005; volume:24; issue:4; firstpage:424; lastpage:437; numberofpages:14; journal:EXPERIMENTAL MATHEMATICS; http://hdl.handle.net/11311/1041677; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84939217908; http://www.tandfonline.com/loi/uexm20 |
| DOI: | 10.1080/10586458.2015.1020577 |
| الاتاحة: | http://hdl.handle.net/11311/1041677 https://doi.org/10.1080/10586458.2015.1020577 http://www.tandfonline.com/loi/uexm20 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.55EF062 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1080/10586458.2015.1020577 |
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