Grobner bases of determinantal ideals

Author
Rashid Zaare-Nahandi
Institute for Advanced Studies in Basic Sciences
Abstract
Determinantal ideal are one of important topics in Algebraic Geometry and Commutative Algebra. There are several examples of varieties as rational normal scrolls which their defining ideals are generated by minors of a matrix. In general, computing a Grobner bases for a special class of ideals help us to correspond a monomial ideal to the main ideals with the same invariants. In this paper, we compute a Grobner bases for an ideal generated by 2-minors of a 2×n matrix of monomials. Also height of determinantal ideal of a special class of monomial matrices is computed.
Keywords
Determinantal ideal
Grobner bases
height of ideal
monomial
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.7 رشید زارع نهندی، بوخبرگر و پایه‌های گربنر، فرهنگ و اندیشه ریاضی، دوره 29 شماره 44 (1389) 55-80.
Mathematical Research
Volume 9, Issue 1 - Serial Number 24
Spring 2023
Pages 119-130