Search Results - "Eloísa Grifo"

A stable version of Harbourne's Conjecture and the containment problem for space monomial curves by Grifo, Eloísa

“…The symbolic powers I(n) of a radical ideal I in a polynomial ring consist of the functions that vanish up to order n in the variety defined by I. These do not…”
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Expected resurgences and symbolic powers of ideals by Grifo, Eloísa, Huneke, Craig, Mukundan, Vivek

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Chudnovsky's conjecture and the stable Harbourne--Huneke containment by Bisui, Sankhaneel, Grifo, Eloísa, Hà, Huy, Nguy ̂̃n, Thái

“…We investigate containment statements between symbolic and ordinary powers and bounds on the Waldschmidt constant of defining ideals of points in projective…”
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Symbolic Powers of Ideals Defining F-pure and Strongly F-regular Rings by Grifo, Eloísa, Huneke, Craig

“…Given a radical ideal $I$ in a regular ring $R$, the Containment Problem of symbolic and ordinary powers of $I$ consists of determining when the containment…”
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A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic by De Stefani, Alessandro, Grifo, Eloísa, Jeffries, Jack

“…We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction…”
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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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Expected Resurgence of Ideals Defining Gorenstein Rings by Grifo, Eloísa, Huneke, Craig, Mukundan, Vivek

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Expected resurgences and symbolic powers of ideals by Grifo, Eloísa, Huneke, Craig, Mukundan, Vivek

“…We give explicit criteria that imply the resurgence of a self‐radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies…”
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Local cohomology and Lyubeznik numbers of F-pure rings by De Stefani, Alessandro, Grifo, Eloísa, Núñez-Betancourt, Luis

“…In this article, we study certain local cohomology modules over F-pure rings. We give sufficient conditions for the vanishing of some Lyubeznik numbers, derive…”
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Demailly's Conjecture and the containment problem by Bisui, Sankhaneel, Grifo, Eloísa, Hà, Huy Tài, Nguyễn, Thái Thành

“…We investigate Demailly's Conjecture for a general set of sufficiently many points. Demailly's Conjecture generalizes Chudnovsky's Conjecture in providing a…”
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On the growth of deviations by Adam Boocher, Alessio D'Alì, Eloísa Grifo, Jonathan Montaño, Alessio Sammartano

“…The deviations of a graded algebra are a sequence of integers that determine the Poincaré series of its residue field and arise as the number of generators of…”
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Lower bounds on projective levels of complexes by Altmann, Hannah, Grifo, Eloísa, Montaño, Jonathan, Sanders, William T., Vu, Thanh

“…For an associative ring R, the projective level of a complex F is the smallest number of mapping cones needed to build F from projective R-modules. We…”
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Bounds on cohomological support varieties by Briggs, Benjamin, Grifo, Eloísa, Pollitz, Josh

“…Over a local ring R R , the theory of cohomological support varieties attaches to any bounded complex M M of finitely generated R R -modules an algebraic…”
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Edge ideals and DG algebra resolutions by Adam Boocher, Alessio D'Alì, Eloisa Grifo, Jonathan Montano, Alessio Sammartano

“…Let R = S/I where S = k[T_1, . . . , T_n] and I is a homogeneous ideal in S. The acyclic closure R of k over R is a DG algebra resolution obtained by means of…”
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A stable version of Harbourne's Conjecture and the containment problem for space monomial curves by Grifo, Eloísa

“…Journal of Pure and Applied Algebra Volume 224, Issue 12, December 2020, 106435 The symbolic powers $I^{(n)}$ of a radical ideal $I$ in a polynomial ring…”
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Lower bounds on Betti numbers by Boocher, Adam, Grifo, Eloísa

“…We survey recent results on bounds for Betti numbers of modules over polynomial rings, with an emphasis on lower bounds. Along the way, we give a gentle…”
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Bounds on cohomological support varieties by Briggs, Benjamin, Grifo, Eloísa, Pollitz, Josh

“…Trans. Amer. Math. Soc. Ser. B 11 (2024), 703-726 Over a local ring $R$, the theory of cohomological support varieties attaches to any bounded complex $M$ of…”
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Symbolic Rees algebras by Grifo, Eloísa, Seceleanu, Alexandra

“…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…”
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A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic by De Stefani, Alessandro, Grifo, Eloísa, Jeffries, Jack

“…We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction…”
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Constructing non-proxy small test modules for the complete intersection property by Briggs, Benjamin, Grifo, Eloísa, Pollitz, Josh

“…A local ring $R$ is regular if and only if every finitely generated $R$-module has finite projective dimension. Moreover, the residue field $k$ is a test…”
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