Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors

Luis Narváez Macarro · ArXiv.org · 2008

Explore this paper's citation graph

Type: preprint
Published: 2008-04-14
Cited by: 34
References: 42
Access: Open access
DOI: https://doi.org/10.48550/arxiv.0804.2219
arXiv: https://arxiv.org/abs/0804.2219
OpenAlex: https://openalex.org/W1508426250
Semantic Scholar: https://api.semanticscholar.org/CorpusID:5370717

Keywords

Meromorphic function, Jacobian matrix and determinant, Linearity, Ideal (ethics), Logarithm

References

A mixed associativity formula for tensor products over two Lie-Rinehart algebrasFrancisco Javier Calderón Moreno, Luis Narváez Macarro — 2005
Equations differentielles à points singuliers reguliersPierre Deligne — 1970
A vanishing theorem for a class of logarithmic D-modulesFrancisco Jesús Castro Jiménez, J. Gago, María Isabel Hartillo Hermoso — 2007
Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libresFrancisco Calderón-Moreno, Luis Narváez Macarro — 2004
Computational methods in commutative algebra and algebraic geometryWolmer V. Vasconcelos — 1997
General theory of lie groupoids and lie algebroidsKirill C. H. Mackenzie — 2005
Free divisors and duality for D-modules ∗Francisco Jesús Castro Jiménez, J. M. Ucha — 2001
Linear free divisors and the global logarithmic comparison theoremMichel Granger, David Mond, Alicia Nieto-Reyes — 2006
On meromorphic functions defined by a differential system of order 1Tristan Torrelli — 2006
The Module Dfs for Locally Quasi-homogeneous Free DivisorsFrancisco Javier Calderón Moreno, Luis Narváez Macarro — 2002
On the logarithmic comparison theorem for integrable logarithmic connectionsFrancisco Javier Calderón Moreno, Luis Narváez Macarro — 2009
Testing the Logarithmic Comparison Theorem for Free DivisorsFrancisco Jesús Castro Jiménez, J.M. Ucha-Enríquez — 2004
Logarithmic comparison theorem and D-modules: an overviewTristan Torrelli — 2005
Logarithmic cohomology of the complement of a plane curveFrancisco Javier Calderón Moreno, Francisco J. Castro-Jiménez, David Mond — 2002
DIFFERENTIAL FORMS ON GENERAL COMMUTATIVE ALGEBRASGeorge S. Rinehart — 1963
D-MODULES FOR MACAULAY 2Anton Leykin — 2002
Differential Forms on Free and Almost Free DivisorsDavid Mond — 1999
On the Theory of b-FunctionsTamaki Yano — 1978
Theory of logarithmic differential forms and logarithmic vector fieldsKyoji Saito — 1980
A duality property for complex Lie algebroidsSophie Chemla — 1999

Cited by

Normal crossings in local analytic geometryEleonore Faber — 2011
Noncommutative computer algebra with applications in algebraic analysisWolf Daniel Andres, Eva Zerz — 2014
A duality approach to the symmetry of Bernstein–Sato polynomials of free divisorsLuis Narváez Macarro — 2012
Embedded q-resolutions and yomdin-lê surface singularitiesJorge Martín-Morales — 2013
Constructive D-Module Theory with SingularDaniel de Andrés, Michael Brickenstein, Viktor Levandovskyy — 2010
Algorithms for Checking Rational Roots of b-functions and their ApplicationsViktor Levandovskyy, Jorge Martín-Morales — 2010
Logarithmic comparison theorem versus Gauss-Manin system for isolated singularitiesMathias Schulze — 2007
Characterizing normal crossing hypersurfacesEleonore Faber — 2012
Minimal resolutions of geometric D-modulesRémi Arcadias — 2009
THE ABELIANIZATION OF THE JOHNSON KERNELAlexandru Dimca, Richard Hain, Ştefan Papadima — 2011
Free divisors in prehomogeneous vector spacesMichel Granger, David Mond, Mathias Schulze — 2009
On the Symmetry of b-Functions of Linear Free DivisorsJean-Michel Granger, Mathias Schulze — 2008
Free divisors and their deformationsMichele Torielli — 2012
Survey on the D-module f^sAnton Leykin, Uli Walther — 2015
The Jacobian module, the Milnor fiber, and the D-module generated by f^sfsUli Walther — 2015
Triple Root Systems, Quasi-determinantal Quivers and Linear Free DivisorsKoji Nakamoto, Ayşe Sharland, Meral Tosun — 2014
Embedded Q- Resolutions and Yomdin-Lê SurfaceJorge Martín Morales — 2011
Integrable logarithmic connections with respect to a cuspLuis Narváez Macarro, Erwin Schrödinger — 2011
Triple root systems, rational quivers and examples of linear free divisorsKazunori Nakamoto, Ayşe Sharland, Meral Tosun — 2018
The Hochschild cohomology of the enveloping algebra of a Lie-Rinehart pairFrancisco Kordon — 2018

Related papers

Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivativesXiaomin Li, Hong‐Xun Yi — 2010
the Theorems on systems of meromorphic ffunctions involving small functionsLingyun Gao — 2010
Some Further Results on Meromorphic Functions that Share Two SetsQi Han, Hong‐Xun Yi — 2003
On meromorphic solutions of certain nonlinear differential equationsJanne Heittokangas, Risto Korhonen, Ilpo Laine — 2002
On the meromorphic functions with maximum function defectsLishi Zhang — 2003
MEROMORPHIC FUNCTIONS THAT SHARE ONE VALUE WITH THEIR DERIVATIVESKai Liu, Lianzhong Yang — 2006
On exceptional values of entire and meromorphic functionsKrishanan NARAYANAN — 1974
On uniqueness of meromorphic functions sharing three values and a set consisting of two small meromorphic functionsXiaomin Li, Hong‐Xun Yi — 2009
Some Estimates for Logarithmic Derivatives of Meromorphic FunctionsShun Shimomura — 2009