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pro vyhledávání: '"Grifò A"'
In this work, an extension of the 1D Klausmeier model that accounts for the toxicity compounds is considered and the occurrence of travelling stripes is investigated. Numerical simulations are firstly conducted to capture the qualitative behaviours o
Externí odkaz:
http://arxiv.org/abs/2405.15602
Publikováno v:
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 finitely generated $R$-modules an algebraic variety $V_R(M)$ that encodes homological properties of $M$. We give lower bounds for the dimensio
Externí odkaz:
http://arxiv.org/abs/2210.15574
Multifocus microscopy enables recording of entire volumes in a single camera exposure. In dense samples, multifocus microscopy is severely hampered by background haze. Here, we introduce a scalable multifocus method that incorporates optical sectioni
Externí odkaz:
http://arxiv.org/abs/2206.01257
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
Autor:
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 introduction to free resolutions and Betti numbers, and discuss some of the reasons why one would
Externí odkaz:
http://arxiv.org/abs/2108.05871
We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction of a new type of differential powers, which do not require the existence of a p-derivation
Externí odkaz:
http://arxiv.org/abs/2104.00612
Publikováno v:
In Physica D: Nonlinear Phenomena March 2024 459
Autor:
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 investigate its symbolic powers and as a source of challenging problems in its own right. We p
Externí odkaz:
http://arxiv.org/abs/2012.01617
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 module: $R$ is regular if and only if $k$ has finite projective dimension. This characterization
Externí odkaz:
http://arxiv.org/abs/2009.11800
We investigate Demailly's Conjecture for a general set of sufficiently many points. Demailly's Conjecture generalizes Chudnovsky's Conjecture in providing a lower bound for the Waldschmidt constant of a set of points in projective spaces. We also stu
Externí odkaz:
http://arxiv.org/abs/2009.05022