Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Ma, Linquan"'
Over a Cohen-Macaulay local ring, the minimal number of generators of a maximal Cohen-Macaulay module is bounded above by its multiplicity. In 1984 Ulrich asked whether there always exist modules for which equality holds; such modules are known nowad
Externí odkaz:
http://arxiv.org/abs/2403.15566
Autor:
Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub
Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inverting $p$, can be computed from a sufficiently large alteration, agrees
Externí odkaz:
http://arxiv.org/abs/2401.00615
Let $(R, \mathfrak{m})$ be a Noetherian local ring. This paper concerns several extremal invariants arising from the study of the relation between colength and (Hilbert--Samuel or Hilbert--Kunz) multiplicity of an $\mathfrak{m}$-primary ideal. We int
Externí odkaz:
http://arxiv.org/abs/2305.12469
Autor:
Ma, Linquan, Quy, Pham Hung
Let $(R,\mathfrak{m})$ be a Noetherian local ring such that $\widehat{R}$ is reduced. We prove that, when $\widehat{R}$ is $S_2$, if there exists a parameter ideal $Q\subseteq R$ such that $\bar{e}_1(Q)=0$, then $R$ is regular and $\nu(\mathfrak{m}/Q
Externí odkaz:
http://arxiv.org/abs/2301.13084
We define a (perfectoid) mixed characteristic version of $F$-signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' normalized length (also developed in the work of Gabber-Ramero). We show th
Externí odkaz:
http://arxiv.org/abs/2209.04046
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and S\"oderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting
Externí odkaz:
http://arxiv.org/abs/2209.03498
Recently, Su and Cook proposed a dimension reduction technique called the inner envelope which can be substantially more efficient than the original envelope or existing dimension reduction techniques for multivariate regression. However, their techn
Externí odkaz:
http://arxiv.org/abs/2205.11573
Autor:
Ma, Linquan, Smirnov, Ilya
Let $(R,\mathfrak{m})$ be a Noetherian local ring of dimension $d\geq 2$. We prove that if $e(\widehat{R}_{red})>1$, then the classical Lech's inequality can be improved uniformly for all $\mathfrak{m}$-primary ideals, that is, there exists $\varepsi
Externí odkaz:
http://arxiv.org/abs/2203.06739
Autor:
Ma, Linquan, Quy, Pham Hung
A Noetherian local ring $(R,\mathfrak{m})$ is called Buchsbaum if the difference $e(\mathfrak{q}, R)-\ell(R/\mathfrak{q})$, where $\mathfrak{q}$ is an ideal generated by a system of parameters, is a constant independent of $\mathfrak{q}$. In this art
Externí odkaz:
http://arxiv.org/abs/2108.02615
This work introduces a notion of complexes of maximal depth, and maximal Cohen-Macaulay complexes, over a commutative noetherian local ring. The existence of such complexes is closely tied to the Hochster's ``homological conjectures", most of which w
Externí odkaz:
http://arxiv.org/abs/2106.08173