Search Results - "Ma, Linquan"

Singularities in mixed characteristic via perfectoid big Cohen–Macaulay algebras by Ma, Linquan, Schwede, Karl

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Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers by Ma, Linquan, Schwede, Karl

“…Using perfectoid algebras we introduce a mixed characteristic analog of the multiplier ideal, respectively test ideal, from characteristic zero, respectively p…”
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Vanishing and Non-negativity of the First Normal Hilbert Coefficient by Ma, Linquan, Quy, Pham Hung

“…Let ( R , m ) be a Noetherian local ring such that R ^ is reduced. We prove that, when R ^ is S 2 , if there exists a parameter ideal Q ⊆ R such that e ¯ 1 ( Q…”
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F$$ F -injectivity and Buchsbaum singularities by Ma, Linquan

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Symbolic power containments in singular rings in positive characteristic by Grifo, Eloísa, Ma, Linquan, Schwede, Karl

“…The containment problem for symbolic and ordinary powers of ideals asks for what values of a and b we have I ( a ) ⊆ I b . Over a regular ring, a result by…”
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F-Stable Secondary Representations and Deformation of F-Injectivity by De Stefani, Alessandro, Ma, Linquan

“…We prove that deformation of F-injectivity holds for local rings ( R , m ) that admit secondary representations of H m i ( R ) which are stable under the…”
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Koszul and local cohomology, and a question of Dutta by Ma, Linquan, Singh, Anurag K., Walther, Uli

“…For ( A , m ) a local ring, we study the natural map from the Koszul cohomology module H dim A ( m ; A ) to the local cohomology module H m dim A ( A ) . We…”
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Colength, multiplicity, and ideal closure operations by Ma, Linquan, Quy, Pham Hung, Smirnov, Ilya

“…In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then R is regular. We deduce this using the…”
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Filter regular sequence under small perturbations by Ma, Linquan, Quy, Pham Hung, Smirnov, Ilya

“…We answer affirmatively a question of Srinivas–Trivedi (J Algebra 186(1):1–19, 1996): in a Noetherian local ring ( R , m ) , if f 1 , ⋯ , f r is a…”
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Lim Ulrich sequences and Boij-Söderberg cones by Iyengar, Srikanth B., Ma, Linquan, Walker, Mark E.

“…This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of Betti cones of finitely generated graded modules and finite…”
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F$-SIGNATURE UNDER BIRATIONAL MORPHISMS by LINQUAN MA, THOMAS POLSTRA, KARL SCHWEDE, KEVIN TUCKER

“…We study $F$-signature under proper birational morphisms $\unicode[STIX]{x1D70B}:Y\rightarrow X$, showing that $F$-signature strictly increases for small…”
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Finiteness Properties of Local Cohomology for F-Pure Local Rings by Ma, Linquan

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Lim Ulrich sequences and Lech’s conjecture by Ma, Linquan

“…The long standing Lech’s conjecture in commutative algebra states that for a flat local extension ( R , m ) → ( S , n ) of Noetherian local rings, we have an…”
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Lech's conjecture in dimension three by Ma, Linquan

“…Let (R,m)→(S,n) be a flat local extension of local rings. Lech conjectured around 1960 that there should be a general inequality e(R)≤e(S) on the…”
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Maximal Cohen-Macaulay modules over certain Segre products by Ma, Linquan

“…We prove some results on the non-existence of rank one maximal Cohen-Macaulay modules over certain Segre product rings. As an application we show that over…”
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F-injectivity and Buchsbaum singularities by Ma, Linquan

“…Let ( R , m , K ) be a local ring that contains a field. We show that, when R has equal characteristic p > 0 and when H m i ( R ) has finite length for all i <…”
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Extended plus closure in complete local rings by Heitmann, Raymond C., Ma, Linquan

“…The (full) extended plus closure was developed as a replacement for tight closure in mixed characteristic rings. Here it is shown by adapting André's…”
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Cohomologically Full Rings by Dao, Hailong, De Stefani, Alessandro, Ma, Linquan

“…Inspired by a question raised by Eisenbud–Mustaţă–Stillman regarding the injectivity of maps from ${\operatorname{Ext}}$ modules to local cohomology modules…”
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Semiparametrically Efficient Method for Enveloped Central Space by Ma, Linquan, Wang, Jixin, Chen, Han, Liu, Lan

“…The estimation of the central space is at the core of the sufficient dimension reduction (SDR) literature. However, it is well known that the finite-sample…”
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The category of F-modules has finite global dimension by Ma, Linquan

“…Let R be a regular ring of characteristic p>0. In [4], Hochster showed that the category of Lyubeznikʼs FR-modules has enough injectives, so that every…”
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