Results 21 to 30 of about 315,833 (178)
, 2021 We survey old and new approaches to the study of symbolic powers of ideals. Our focus is on the symbolic Rees algebra of an ideal, viewed both as a tool to investigate its symbolic powers and as a source of challenging problems in its own right. We provide an invitation to this area of investigation by stating several open questions.
Grifo, Eloísa, Seceleanu, Alexandra
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Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories
Journal of High Energy Physics, 2023 We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩 = (2, 0) theories.
Carlo Meneghelli, Maxime Trépanier
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Fibers of rational maps and Rees algebras of their base ideals
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020 We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
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Journal of Commutative Algebra, 2013 We study almost complete intersections ideals whose Rees algebras are extremal in the sense that some of their fundamental metrics---depth or relation type---have maximal or minimal values in the class. The focus is on those ideals that lead to almost Cohen--Macaulay algebras and our treatment is wholly concentrated on the nonlinear relations of the ...
Hong, Jooyoun +2 more
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What is the Rees algebra of a module? [PDF]
Proceedings of the American Mathematical Society, 2002 In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a module M M
Eisenbud, David +2 more
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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Systems with the integer rounding property in normal monomial subrings
Anais da Academia Brasileira de Ciências, 2010 Let C be a clutter and let A be its incidence matrix. If the linear system x > 0; x A < 1 has the integer rounding property, we give a description of the canonical module and the a-invariant of certain normal subrings associated to C. If the clutter is a
Luis A. Dupont +2 more
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Green index and finiteness conditions for semigroups [PDF]
, 2008 Let S be a semigroup and let T be a subsemigroup of S. Then T acts on S by left and by right multiplication. If the complement S \ T has finitely many strong orbits by both these actions we say that T has finite Green index in S.
R. Gray +7 more
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Ideals and finiteness conditions for subsemigroups [PDF]
, 2013 In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration
Ruskuc, N. +7 more
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On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals [PDF]
Journal of the Mathematical Society of Japan, 1998 Let \(I\) be an ideal in a local ring \(A\). We want to investigate the Cohen-Macaulay properties of various Rees algebras of \(A\) with respect to \(I\), namely the multi-Rees algebras \((R_A({\mathcal I})_r))=:\bigoplus_{{(n_1,\dots,n_r)\atop n_i\geq 0}}I^{n_1}\dots I^{n_r}\), the Rees algebras of powers of \(I\) \((R_A(I^s))\) and the ordinary Rees ...
KORB, Thomas, NAKAMURA, Yukio
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