Jeffries, Jack; Núñez-Betancourt, Luis; Quinlan-Gallego, Eamon Bernstein-Sato theory for singular rings in positive characteristic. (English) Zbl 07709428 Trans. Am. Math. Soc. 376, No. 7, 5123-5180 (2023). MSC: 14F10 13N10 13A35 14B05 PDF BibTeX XML Cite \textit{J. Jeffries} et al., Trans. Am. Math. Soc. 376, No. 7, 5123--5180 (2023; Zbl 07709428) Full Text: DOI arXiv
Dirks, Bradley; Mustaţă, Mircea Upper bounds for roots of \(b\)-functions, following Kashiwara and Lichtin. (English) Zbl 1503.14021 Publ. Res. Inst. Math. Sci. 58, No. 4, 693-712 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 14F18 14B05 PDF BibTeX XML Cite \textit{B. Dirks} and \textit{M. Mustaţă}, Publ. Res. Inst. Math. Sci. 58, No. 4, 693--712 (2022; Zbl 1503.14021) Full Text: DOI arXiv
Àlvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, Jack; Núñez-Betancourt, Luis; Teixeira, Pedro; Witt, Emily E. Bernstein-Sato functional equations, \(V\)-filtrations, and multiplier ideals of direct summands. (English) Zbl 1506.14037 Commun. Contemp. Math. 24, No. 10, Article ID 2150083, 47 p. (2022). MSC: 14F10 13N10 13A35 16S32 13D45 14B05 14M25 13A50 PDF BibTeX XML Cite \textit{J. Àlvarez Montaner} et al., Commun. Contemp. Math. 24, No. 10, Article ID 2150083, 47 p. (2022; Zbl 1506.14037) Full Text: DOI arXiv
Blanco, Guillem An algorithm for Hodge ideals. (English) Zbl 1505.14047 Math. Comput. 91, No. 338, 2955-2967 (2022). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 14Q20 14D07 14F18 PDF BibTeX XML Cite \textit{G. Blanco}, Math. Comput. 91, No. 338, 2955--2967 (2022; Zbl 1505.14047) Full Text: DOI arXiv
Montaner, Josep Àlvarez; Jeffries, Jack; Núñez-Betancourt, Luis Bernstein-Sato polynomials in commutative algebra. (English) Zbl 1498.14042 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 1-76 (2021). MSC: 14F10 13N10 13A35 16S32 13D45 14B05 14M25 13A50 PDF BibTeX XML Cite \textit{J. À. Montaner} et al., in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 1--76 (2021; Zbl 1498.14042) Full Text: DOI arXiv
Saito, Morihiko \(D\)-modules generated by rational powers of holomorphic functions. (English) Zbl 1486.14022 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 867-891 (2021). Reviewer: Rolf Källström (Gävle) MSC: 14F10 32C38 PDF BibTeX XML Cite \textit{M. Saito}, Publ. Res. Inst. Math. Sci. 57, No. 3--4, 867--891 (2021; Zbl 1486.14022) Full Text: DOI arXiv
Quinlan-Gallego, Eamon Bernstein-Sato roots for monomial ideals in positive characteristic. (English) Zbl 1483.13014 Nagoya Math. J. 244, 25-34 (2021). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13A35 14F10 PDF BibTeX XML Cite \textit{E. Quinlan-Gallego}, Nagoya Math. J. 244, 25--34 (2021; Zbl 1483.13014) Full Text: DOI arXiv
Bath, Daniel Bernstein-Sato varieties and annihilation of powers. (English) Zbl 1460.14048 Trans. Am. Math. Soc. 373, No. 12, 8543-8582 (2020). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 32S40 32S05 32S22 32C38 PDF BibTeX XML Cite \textit{D. Bath}, Trans. Am. Math. Soc. 373, No. 12, 8543--8582 (2020; Zbl 1460.14048) Full Text: DOI arXiv
Mustaţă, Mircea; Popa, Mihnea Hodge ideals for \(\mathbb{Q} \)-divisors, \(V\)-filtration, and minimal exponent. (English) Zbl 1451.14055 Forum Math. Sigma 8, Paper No. e19, 41 p. (2020). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 14J17 32S25 14D07 PDF BibTeX XML Cite \textit{M. Mustaţă} and \textit{M. Popa}, Forum Math. Sigma 8, Paper No. e19, 41 p. (2020; Zbl 1451.14055) Full Text: DOI arXiv
Blanco, Guillem Poles of the complex zeta function of a plane curve. (English) Zbl 1440.14149 Adv. Math. 350, 396-439 (2019). MSC: 14H20 14B05 14F10 14G10 PDF BibTeX XML Cite \textit{G. Blanco}, Adv. Math. 350, 396--439 (2019; Zbl 1440.14149) Full Text: DOI arXiv
Reichelt, Thomas; Walther, Uli Gauß-Manin systems of families of Laurent polynomials and \(A\)-hypergeometric systems. (English) Zbl 1441.13062 Commun. Algebra 47, No. 6, 2503-2524 (2019). MSC: 13N10 14M25 32C38 32S40 33C70 14F10 PDF BibTeX XML Cite \textit{T. Reichelt} and \textit{U. Walther}, Commun. Algebra 47, No. 6, 2503--2524 (2019; Zbl 1441.13062) Full Text: DOI arXiv
Zhou, Jie; Wang, Guijun Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule’s consequence. (Chinese. English summary) Zbl 1424.93127 J. Zhejiang Univ., Sci. Ed. 45, No. 4, 394-399 (2018). MSC: 93C42 14F10 PDF BibTeX XML Cite \textit{J. Zhou} and \textit{G. Wang}, J. Zhejiang Univ., Sci. Ed. 45, No. 4, 394--399 (2018; Zbl 1424.93127) Full Text: DOI
Bitoun, Thomas; Schedler, Travis On \({\mathcal{D}}\)-modules related to the \(b\)-function and Hamiltonian flow. (English) Zbl 1439.14065 Compos. Math. 154, No. 11, 2426-2440 (2018). Reviewer: Teresa Monteiro Fernandes (Lisboa) MSC: 14F10 37J39 32S20 PDF BibTeX XML Cite \textit{T. Bitoun} and \textit{T. Schedler}, Compos. Math. 154, No. 11, 2426--2440 (2018; Zbl 1439.14065) Full Text: DOI arXiv
Artal Bartolo, E.; Cassou-Noguès, P.; Luengo, I.; Melle-Hernández, A. On the \(b\)-exponents of generic isolated plane curve singularities. (English) Zbl 1428.32008 J. Singul. 18, 36-49 (2018). MSC: 32S05 14B05 14F10 32S40 32A30 PDF BibTeX XML Cite \textit{E. Artal Bartolo} et al., J. Singul. 18, 36--49 (2018; Zbl 1428.32008) Full Text: DOI arXiv
Hsiao, Jen-Chieh; Matusevich, Laura Felicia Bernstein – Sato polynomials on normal toric varieties. (English) Zbl 1402.14026 Mich. Math. J. 67, No. 1, 117-132 (2018). Reviewer: Mingyi Zhang (Chicago) MSC: 14F10 14M25 14F18 14B05 PDF BibTeX XML Cite \textit{J.-C. Hsiao} and \textit{L. F. Matusevich}, Mich. Math. J. 67, No. 1, 117--132 (2018; Zbl 1402.14026) Full Text: DOI arXiv Euclid
Bapat, Asilata; Walters, Robin The strong topological monodromy conjecture for Weyl hyperplane arrangements. (English) Zbl 1388.32025 Math. Res. Lett. 24, No. 4, 947-954 (2017). MSC: 32S25 32S22 PDF BibTeX XML Cite \textit{A. Bapat} and \textit{R. Walters}, Math. Res. Lett. 24, No. 4, 947--954 (2017; Zbl 1388.32025) Full Text: DOI
Artal Bartolo, E.; Cassou-Nogués, Pierrette; Luengo, I.; Melle-Hernández, A. Bernstein polynomial of \(2\)-Puiseux pairs irreducible plane curve singularities. (English) Zbl 1444.14047 Methods Appl. Anal. 24, No. 2, 185-214 (2017). MSC: 14F10 14H20 14H50 32S40 32A30 32S05 PDF BibTeX XML Cite \textit{E. Artal Bartolo} et al., Methods Appl. Anal. 24, No. 2, 185--214 (2017; Zbl 1444.14047) Full Text: DOI arXiv
Saito, Morihiko Bernstein-Sato polynomials of hyperplane arrangements. (English) Zbl 1432.32038 Sel. Math., New Ser. 22, No. 4, 2017-2057 (2016). MSC: 32S22 PDF BibTeX XML Cite \textit{M. Saito}, Sel. Math., New Ser. 22, No. 4, 2017--2057 (2016; Zbl 1432.32038) Full Text: DOI arXiv
Walters, Robin The Bernstein-Sato \(b\)-function of the space of cyclic pairs. (English) Zbl 1408.14072 Publ. Res. Inst. Math. Sci. 51, No. 2, 273-288 (2015). MSC: 14F10 32S25 PDF BibTeX XML Cite \textit{R. Walters}, Publ. Res. Inst. Math. Sci. 51, No. 2, 273--288 (2015; Zbl 1408.14072) Full Text: DOI arXiv
Cassou-Noguès, Pierrette; Libgober, Anatoly Multivariable Hodge theoretical invariants of germs of plane curves. II. (English) Zbl 1319.14024 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 82-135 (2014). Reviewer: Alexandru Dimca (Nice) MSC: 14F18 14H20 14F10 32S40 PDF BibTeX XML Cite \textit{P. Cassou-Noguès} and \textit{A. Libgober}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 82--135 (2014; Zbl 1319.14024) Full Text: arXiv
Bories, Bart Zeta functions and Bernstein-Sato polynomials for ideals in dimension two. (English) Zbl 1334.14012 Rev. Mat. Complut. 26, No. 2, 753-772 (2013). MSC: 14F10 14H20 11R42 14E18 PDF BibTeX XML Cite \textit{B. Bories}, Rev. Mat. Complut. 26, No. 2, 753--772 (2013; Zbl 1334.14012) Full Text: DOI arXiv
Yger, Alain A conjecture by Leon Ehrenpreis about zeroes of exponential polynomials. (English) Zbl 1261.42008 Farkas, Hershel M. (ed.) et al., From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer (ISBN 978-1-4614-4074-1/hbk; 978-1-4614-4075-8/ebook). Developments in Mathematics 28, 517-535 (2013). MSC: 42A75 65Q10 11C08 11J81 39A70 14F10 PDF BibTeX XML Cite \textit{A. Yger}, Dev. Math. 28, 517--535 (2013; Zbl 1261.42008) Full Text: DOI
Loc, Tran Gia; Tai, Trinh Duc The generalized gamma functions. (English) Zbl 1253.33005 Acta Math. Vietnam. 37, No. 2, 219-230 (2012). MSC: 33B15 39B32 39A05 PDF BibTeX XML Cite \textit{T. G. Loc} and \textit{T. D. Tai}, Acta Math. Vietnam. 37, No. 2, 219--230 (2012; Zbl 1253.33005) Full Text: arXiv
Levandovskyy, V.; Martín-Morales, J. Algorithms for checking rational roots of \(b\)-functions and their applications. (English) Zbl 1276.32010 J. Algebra 352, No. 1, 408-429 (2012). MSC: 32C38 14F10 PDF BibTeX XML Cite \textit{V. Levandovskyy} and \textit{J. Martín-Morales}, J. Algebra 352, No. 1, 408--429 (2012; Zbl 1276.32010) Full Text: DOI
Berkesch, Christine; Leykin, Anton Algorithms for Bernstein-Sato polynomials and multiplier ideals. (English) Zbl 1321.68522 Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 99-106 (2010). MSC: 68W30 14F10 14F18 14Q15 32S40 PDF BibTeX XML Cite \textit{C. Berkesch} and \textit{A. Leykin}, in: Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25--28, 2010. New York, NY: Association for Computing Machinery (ACM). 99--106 (2010; Zbl 1321.68522) Full Text: DOI arXiv
Melle-Hernández, A.; Torrelli, T.; Veys, Willem Monodromy Jordan blocks, \(b\)-functions and poles of zeta functions for germs of plane curves. (English) Zbl 1207.14008 J. Algebra 324, No. 6, 1364-1382 (2010). Reviewer: Alexandru Dimca (Nice) MSC: 14B05 32S40 14H20 32S25 PDF BibTeX XML Cite \textit{A. Melle-Hernández} et al., J. Algebra 324, No. 6, 1364--1382 (2010; Zbl 1207.14008) Full Text: DOI
Huang, I-Chiau Method of generating differentials. (English) Zbl 1194.13024 Kotsireas, Ilias S. (ed.) et al., Advances in combinatorial mathematics. Proceedings of the 2nd Waterloo workshop on computer algebra (WWCA 2008), Waterloo, Canada, May 5–7, 2008. Dedicated to the 70th birthday of G. Egorychev. Berlin: Springer (ISBN 978-3-642-03561-6/hbk; 978-3-642-03562-3/e-book). 127-154 (2009). Reviewer: Mihail I. Ursul (Oradea) MSC: 13F25 13N05 13N15 14F10 13D45 PDF BibTeX XML Cite \textit{I-C. Huang}, in: Advances in combinatorial mathematics. Proceedings of the 2nd Waterloo workshop on computer algebra (WWCA 2008), Waterloo, Canada, May 5--7, 2008. Dedicated to the 70th birthday of G. Egorychev. Berlin: Springer. 127--154 (2009; Zbl 1194.13024) Full Text: DOI
Melle-Hernández, A.; Torrelli, T.; Veys, Willem On ‘maximal’ poles of zeta functions, roots of \(b\)-functions, and monodromy Jordan blocks. (English) Zbl 1208.14003 J. Topol. 2, No. 3, 517-526 (2009). MSC: 14B05 32S25 11S80 32S45 PDF BibTeX XML Cite \textit{A. Melle-Hernández} et al., J. Topol. 2, No. 3, 517--526 (2009; Zbl 1208.14003) Full Text: DOI arXiv
Cluckers, Raf; Herremans, Adriaan [Sato, Fumihiro] The fundamental theorem of prehomogeneous vector spaces modulo \(\mathcal P^m\) (With an appendix by F. Sato). (English) Zbl 1207.11118 Bull. Soc. Math. Fr. 135, No. 4, 475-494 (2007). MSC: 11S90 11L07 11M41 11T24 11L05 20G40 PDF BibTeX XML Cite \textit{R. Cluckers} and \textit{A. Herremans}, Bull. Soc. Math. Fr. 135, No. 4, 475--494 (2007; Zbl 1207.11118) Full Text: DOI arXiv Link
Howald, Jason; Mustata, Mircea; Yuen, Cornelia On Igusa zeta functions of monomial ideals. (English) Zbl 1140.14003 Proc. Am. Math. Soc. 135, No. 11, 3425-3433 (2007). Reviewer: Wim Veys (Leuven) MSC: 14B05 14M25 11S80 PDF BibTeX XML Cite \textit{J. Howald} et al., Proc. Am. Math. Soc. 135, No. 11, 3425--3433 (2007; Zbl 1140.14003) Full Text: DOI arXiv
Torrelli, Tristan Logarithmic comparison theorem and \({\mathcal D}\)-modules: an overview. (English) Zbl 1121.32005 Chéniot, Denis (ed.) et al., Singularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24–February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday. Singapore: World Scientific (ISBN 978-981-270-410-8/hbk). 995-1009 (2007). MSC: 32C38 32S25 14F10 14F40 PDF BibTeX XML Cite \textit{T. Torrelli}, in: Singularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24--February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday. Singapore: World Scientific. 995--1009 (2007; Zbl 1121.32005) Full Text: arXiv
Briançon, Joël; Maisonobe, Philippe; Torrelli, Tristan Magic matrix associated with a germ of plane curve and division by the Jacobian ideal. (Matrice magique associée à un germe de courbe plane et division par l’idéal Jacobien.) (French. English summary) Zbl 1135.32028 Ann. Inst. Fourier 57, No. 3, 919-953 (2007). Reviewer: Nero Budur (Notre Dame) MSC: 32S40 32S10 32C38 14B05 PDF BibTeX XML Cite \textit{J. Briançon} et al., Ann. Inst. Fourier 57, No. 3, 919--953 (2007; Zbl 1135.32028) Full Text: DOI arXiv Numdam EuDML
Budur, Nero; Mustaţǎ, Mircea; Saito, Morihiko Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals. (English) Zbl 1115.32018 Commun. Algebra 34, No. 11, 4103-4117 (2006). Reviewer: Carlos Galindo (Castellon) MSC: 32S40 14B05 PDF BibTeX XML Cite \textit{N. Budur} et al., Commun. Algebra 34, No. 11, 4103--4117 (2006; Zbl 1115.32018) Full Text: DOI arXiv
Bahloul, Rouchdi Some results on Bernstein-Sato polynomials for parametric analytic functions. (English) Zbl 1109.32023 Proc. Japan Acad., Ser. A 82, No. 3, 40-45 (2006). MSC: 32S10 32S40 16S32 13P99 PDF BibTeX XML Cite \textit{R. Bahloul}, Proc. Japan Acad., Ser. A 82, No. 3, 40--45 (2006; Zbl 1109.32023) Full Text: DOI arXiv Euclid
Budur, Nero; Mustaţă, Mircea; Saito, Morihiko Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach. (English) Zbl 1093.14005 Math. Res. Lett. 13, No. 1, 125-142 (2006). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 14B05 13N10 32S40 PDF BibTeX XML Cite \textit{N. Budur} et al., Math. Res. Lett. 13, No. 1, 125--142 (2006; Zbl 1093.14005) Full Text: DOI arXiv
Gago-Vargas, J.; Hartillo-Hermoso, M. I.; Ucha-Enríquez, J. M. Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials. (English) Zbl 1120.68404 J. Symb. Comput. 40, No. 3, 1076-1086 (2005). MSC: 68Q25 16S32 16S36 32C38 16Z05 68W30 PDF BibTeX XML Cite \textit{J. Gago-Vargas} et al., J. Symb. Comput. 40, No. 3, 1076--1086 (2005; Zbl 1120.68404) Full Text: DOI Link
Schulze, Mathias A normal form algorithm for the Brieskorn lattice. (English) Zbl 1137.14303 J. Symb. Comput. 38, No. 4, 1207-1225 (2004). MSC: 14B05 13N10 14C30 32S35 32S40 PDF BibTeX XML Cite \textit{M. Schulze}, J. Symb. Comput. 38, No. 4, 1207--1225 (2005; Zbl 1137.14303) Full Text: DOI arXiv
Budur, Nero On the \(V\)-filtration of \({\mathcal D}\)-modules. (English) Zbl 1102.32006 Bogomolov, Fedor (ed.) et al., Geometric methods in algebra and number theory. Basel: Birkhäuser (ISBN 0-8176-4349-4/hbk). Progress in Mathematics 235, 59-70 (2005). Reviewer: Alexandru Dimca (Nice) MSC: 32C38 14F10 32S40 PDF BibTeX XML Cite \textit{N. Budur}, Prog. Math. 235, 59--70 (2005; Zbl 1102.32006) Full Text: arXiv
Angeli, Y. Meromorphic extension of the spherical functions on a class of ordered symmetric spaces. (English) Zbl 1070.43003 J. Funct. Anal. 224, No. 1, 49-71 (2005). Reviewer: Joachim Hilgert (Paderborn) MSC: 43A90 53C35 17C50 PDF BibTeX XML Cite \textit{Y. Angeli}, J. Funct. Anal. 224, No. 1, 49--71 (2005; Zbl 1070.43003) Full Text: DOI
Walther, Uli Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements. (English) Zbl 1070.32021 Compos. Math. 141, No. 1, 121-145 (2005). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 32S22 14F40 13N10 PDF BibTeX XML Cite \textit{U. Walther}, Compos. Math. 141, No. 1, 121--145 (2005; Zbl 1070.32021) Full Text: DOI arXiv
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.; Varolin, Dror Jumping coefficients of multiplier ideals. (English) Zbl 1061.14003 Duke Math. J. 123, No. 3, 469-506 (2004). Reviewer: Marcel Morales (Saint-Martin-d’Heres) MSC: 14B05 32S05 13H05 PDF BibTeX XML Cite \textit{L. Ein} et al., Duke Math. J. 123, No. 3, 469--506 (2004; Zbl 1061.14003) Full Text: DOI arXiv
Bonnet, Philippe Relative cohomology of polynomial mappings. (English) Zbl 1029.32012 Manuscr. Math. 110, No. 4, 413-432 (2003). Reviewer: Aleksandr G.Aleksandrov (Moskva) MSC: 32S50 14F10 14F40 58C25 32S20 PDF BibTeX XML Cite \textit{P. Bonnet}, Manuscr. Math. 110, No. 4, 413--432 (2003; Zbl 1029.32012) Full Text: DOI arXiv
Briançon, J.; Maisonobe, Ph; Merle, M. Functional equations associated to analytic functions. (Équations fonctionnelles associées à des fonctions analytiques.) (French) Zbl 1026.32017 Proc. Steklov Inst. Math. 238, No. 3, 77-87 (2002) and Tr. Mat. Inst. Steklova 238, 86-96 (2002). MSC: 32C38 PDF BibTeX XML Cite \textit{J. Briançon} et al., in: Monodromy in problems of algebraic geometry and differential equations. Collected papers. Transl. from the Russian. Moskva: Maik Nauka/Interperiodika. 77--87 (2002; Zbl 1026.32017)
Simis, Aaron; Smith, Karen E.; Ulrich, Bernd An algebraic proof of Zak’s inequality for the dimension of the Gauss image. (English) Zbl 1079.14060 Math. Z. 241, No. 4, 871-881 (2002). Reviewer: Edoardo Ballico (Povo) MSC: 14N05 13F20 14F10 PDF BibTeX XML Cite \textit{A. Simis} et al., Math. Z. 241, No. 4, 871--881 (2002; Zbl 1079.14060) Full Text: DOI Link
Mustaţǎ, Mircea; Schenck, Henry K. The module of logarithmic \(p\)-forms of a locally free arrangement. (English) Zbl 1047.14007 J. Algebra 241, No. 2, 699-719 (2001). MSC: 14F10 14C20 13D40 52C35 PDF BibTeX XML Cite \textit{M. Mustaţǎ} and \textit{H. K. Schenck}, J. Algebra 241, No. 2, 699--719 (2001; Zbl 1047.14007) Full Text: DOI arXiv
Tajima, Shinichi Algebraic analysis of multivariate Hermite interpolation formulas. (English) Zbl 1038.32012 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 829-838 (2000). MSC: 32E30 32C38 14F43 14F10 PDF BibTeX XML Cite \textit{S. Tajima}, Int. Soc. Anal. Appl. Comput. 8, 829--838 (2000; Zbl 1038.32012)
Gussi, G. Topics in analysis and distribution theory. (English) Zbl 0991.46022 Seminar Series in Mathematics: Analysis. 3. Constantza: Ovidius University. iv, 242 p. (1999). Reviewer: Susanne Dierolf (Trier) MSC: 46F10 46-02 30-02 31-02 46G05 46E15 PDF BibTeX XML Cite \textit{G. Gussi}, Topics in analysis and distribution theory. Constantza: Ovidius University (1999; Zbl 0991.46022)
Oaku, Toshinori; Takayama, Nobuki An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation. (English) Zbl 0960.14008 J. Pure Appl. Algebra 139, No. 1-3, 201-233 (1999). Reviewer: Joos Heintz (Buenos Aires) MSC: 14F40 68W30 14F10 14Q15 PDF BibTeX XML Cite \textit{T. Oaku} and \textit{N. Takayama}, J. Pure Appl. Algebra 139, No. 1--3, 201--233 (1999; Zbl 0960.14008) Full Text: DOI arXiv Backlinks: MO
Morita, Kenji On the basis of twisted de Rham cohomology. (English) Zbl 0941.14005 Hokkaido Math. J. 27, No. 3, 567-603 (1998). Reviewer: A.G.Aleksandrov (Moskva) MSC: 14F40 14F10 32C38 14N20 PDF BibTeX XML Cite \textit{K. Morita}, Hokkaido Math. J. 27, No. 3, 567--603 (1998; Zbl 0941.14005) Full Text: DOI
Brückmann, P.; Müller, D. Birational invariants in the case of prime characteristic. (English) Zbl 0922.14010 Manuscr. Math. 95, No. 4, 413-429 (1998). MSC: 14F10 14G15 14M10 13D40 PDF BibTeX XML Cite \textit{P. Brückmann} and \textit{D. Müller}, Manuscr. Math. 95, No. 4, 413--429 (1998; Zbl 0922.14010) Full Text: DOI EuDML
Oaku, Toshinori Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules. (English) Zbl 0929.32009 RIMS Kokyuroku 983, 86-105 (1997). Reviewer: W.Soergel (Freiburg i.Br.) MSC: 32C38 14F10 58J15 PDF BibTeX XML Cite \textit{T. Oaku}, RIMS Kokyuroku 983, 86--105 (1997; Zbl 0929.32009)
Oaku, Toshinori Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial. (English) Zbl 0918.32006 J. Pure Appl. Algebra 117-118, 495-518 (1997). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32C38 13P10 14F10 16S32 PDF BibTeX XML Cite \textit{T. Oaku}, J. Pure Appl. Algebra 117--118, 495--518 (1997; Zbl 0918.32006) Full Text: DOI
Lyubeznik, Gennady On Bernstein-Sato polynomials. (English) Zbl 0878.13018 Proc. Am. Math. Soc. 125, No. 7, 1941-1944 (1997). Reviewer: I.Coandă (Bucureşti) MSC: 13N10 16S32 13F20 PDF BibTeX XML Cite \textit{G. Lyubeznik}, Proc. Am. Math. Soc. 125, No. 7, 1941--1944 (1997; Zbl 0878.13018) Full Text: DOI
Oaku, Toshinori Some algorithmic aspects of the \(D\)-module theory. (English) Zbl 0872.32008 Bony, J.-M. (ed.) et al., New trends in microlocal analysis. Tokyo: Springer. 205-223 (1997). Reviewer: W.Soergel (Freiburg i.Br.) MSC: 32C38 PDF BibTeX XML Cite \textit{T. Oaku}, in: New trends in microlocal analysis. Tokyo: Springer. 205--223 (1997; Zbl 0872.32008)
Oaku, Toshinori An algorithm of computing \(b\)-functions. (English) Zbl 0938.32004 RIMS Kokyuroku 941, 52-56 (1996). MSC: 32C38 13P10 68W30 PDF BibTeX XML Cite \textit{T. Oaku}, RIMS Kokyuroku 941, 52--56 (1996; Zbl 0938.32004)
Dimca, Alexandru; Saito, Morihiko On the cohomology of a general fiber of a polynomial map. (English) Zbl 0824.14016 Compos. Math. 85, No. 3, 299-309 (1993). Reviewer: A.Dimca (Bordeaux) MSC: 14F40 14F10 32C38 13F20 PDF BibTeX XML Cite \textit{A. Dimca} and \textit{M. Saito}, Compos. Math. 85, No. 3, 299--309 (1993; Zbl 0824.14016) Full Text: Numdam EuDML
Perelli Cippo, Claudio; Vassallo, Salvatore Nonhomogeneous polynomial ideals: The fibre space \(\mathcal B\) and \(\mathcal C\). (Italian. English summary) Zbl 0795.13007 Rend., Sci. Mat. Appl., A 125(1991), No. 1, 55-68 (1992). Reviewer: C.Perelli Cippo and S.Vassalo (Brescia) MSC: 13F20 14F10 13A15 PDF BibTeX XML Cite \textit{C. Perelli Cippo} and \textit{S. Vassallo}, Rend., Sci. Mat. Appl., A 125, No. 1, 55--68 (1992; Zbl 0795.13007)
Narváez-Macarro, Luis A note on the behavior under ground field extension of quasi-coefficient fields. (English) Zbl 0687.14015 J. Lond. Math. Soc. II. Ser. 43, No. 1, 12-22 (1991). Reviewer: L.Narváez-Macarro MSC: 14F10 13N10 13F25 12H05 PDF BibTeX XML Cite \textit{L. Narváez-Macarro}, J. Lond. Math. Soc., II. Ser. 43, No. 1, 12--22 (1991; Zbl 0687.14015) Full Text: DOI
Mebkhout, Z.; Narváez-Macarro, L. Theory of the Bernstein-Sato polynomial for Tate and Dwork-Monsky-Washnitzer algebras. (La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer.) (French) Zbl 0765.14009 Ann. Sci. Éc. Norm. Supér. (4) 24, No. 2, 227-256 (1991). Reviewer: K.Kiyek (Paderborn) MSC: 14F10 14F40 32C38 14G20 PDF BibTeX XML Cite \textit{Z. Mebkhout} and \textit{L. Narváez-Macarro}, Ann. Sci. Éc. Norm. Supér. (4) 24, No. 2, 227--256 (1991; Zbl 0765.14009) Full Text: DOI Numdam EuDML
Briançon, Joël; Laurent, Yves; Maisonobe, Philippe Sur les modules différentiels holonomes réguliers, cohérents relativement à une projection. (On the regular holonomic differential modules coherent relatively to a projection). (French) Zbl 0743.32011 C. R. Acad. Sci., Paris, Sér. I 313, No. 5, 285-288 (1991). Reviewer: A.Tancredi (Perugia) MSC: 32C38 14F10 PDF BibTeX XML Cite \textit{J. Briançon} et al., C. R. Acad. Sci., Paris, Sér. I 313, No. 5, 285--288 (1991; Zbl 0743.32011)
Katz, Nicholas M. Exponential sums and differential equations. (English) Zbl 0731.14008 Annals of Mathematics Studies, 124. Princeton, NJ: Princeton University Press. ix, 430 p. $ 22.50/pbk; $ 65.00/hbk (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 14F10 14-02 12-02 11-02 11T23 12H25 14G15 12H20 PDF BibTeX XML Cite \textit{N. M. Katz}, Exponential sums and differential equations. Princeton, NJ: Princeton University Press (1990; Zbl 0731.14008) Full Text: DOI
Barlet, Daniel Filtration asymptotique et pôles de \(\int _{X}| f| ^{2\lambda}\square\). (Asymptotic filtration and poles of \(\int _{X}| f| ^{2\lambda}\square)\). (French) Zbl 0728.32018 Théorie de Hodge, Actes Colloq., Luminy/Fr. 1987, Astérisque 179-180, 13-37 (1989). Reviewer: K.Ueno (Kyoto) MSC: 32S40 14F40 32S55 14J17 32S25 PDF BibTeX XML
Opdam, E. M. Some applications of hypergeometric shift operators. (English) Zbl 0696.33006 Invent. Math. 98, No. 1, 1-18 (1989). Reviewer: A.V.Rosenblyum MSC: 33C60 PDF BibTeX XML Cite \textit{E. M. Opdam}, Invent. Math. 98, No. 1, 1--18 (1989; Zbl 0696.33006) Full Text: DOI EuDML
Igusa, Jun-ichi On the arithmetic of a singular invariant. (English) Zbl 0662.12014 Am. J. Math. 110, No. 2, 197-233 (1988). Reviewer: S.Raghavan MSC: 11M38 14G10 11S80 PDF BibTeX XML Cite \textit{J.-i. Igusa}, Am. J. Math. 110, No. 2, 197--233 (1988; Zbl 0662.12014) Full Text: DOI
Sabbah, C. Polynômes de Bernstein-Sato à plusieurs variables. (Bernstein-Sato polynomials in several complex variables). (French) Zbl 0634.32003 Sémin., Équations Dériv. Partielles 1986-1987, Exp. No. 19, 6 p. (1987). Reviewer: J.M.Granger MSC: 32A20 32A25 32C30 PDF BibTeX XML Full Text: Numdam EuDML
Sabbah, C. Proximité évanescente. II: Equations fonctionnelles pour plusieurs fonctions analytiques. (Vanishing neighborhoods. II: Functional equations for several analytic functions). (French) Zbl 0632.32006 Compos. Math. 64, 213-241 (1987). Reviewer: F.Castro MSC: 32C38 32Sxx 32A20 14F10 14B25 32S45 35A27 PDF BibTeX XML Cite \textit{C. Sabbah}, Compos. Math. 64, 213--241 (1987; Zbl 0632.32006) Full Text: Numdam EuDML
Mebkhout, Zoghman Le théorème de comparaison entre cohomologies de De Rham sur le corps des nombres complexes. (The comparaison theorem between De Rham cohomologies over the field of complex numbers). (French) Zbl 0629.14014 C. R. Acad. Sci., Paris, Sér. I 305, 549-552 (1987). Reviewer: L.Narvaez-Macarro MSC: 14F40 32C38 32Sxx 14F10 14B05 PDF BibTeX XML Cite \textit{Z. Mebkhout}, C. R. Acad. Sci., Paris, Sér. I 305, 549--552 (1987; Zbl 0629.14014)
Cassou-Noguès, Pierrette Étude du comportement du polynôme de Bernstein lors d’une déformation à \(\mu\) constant de \(X^ a+Y^ b\) avec \((a,b)=1\). (Study of the Bernstein polynomial of a \(\mu\)-constant deformation of \(X^ a+Y^ b=1\) with \((a,b)=1)\). (French) Zbl 0624.32006 Compos. Math. 63, 291-313 (1987). Reviewer: D.Barlet MSC: 32B05 32S05 32S30 PDF BibTeX XML Cite \textit{P. Cassou-Noguès}, Compos. Math. 63, 291--313 (1987; Zbl 0624.32006) Full Text: Numdam EuDML
Sabbah, C. Proximité évanescente. I: La structure polaire d’un \({\mathcal D}\)- modules. (Vanishing neighborhood. I: The polar structure of \({\mathcal D}\)- modules). (French) Zbl 0622.32012 Compos. Math. 62, 283-328 (1987). Reviewer: F.Castro MSC: 32C38 32Sxx 14F10 14B10 PDF BibTeX XML Cite \textit{C. Sabbah}, Compos. Math. 62, 283--328 (1987; Zbl 0622.32012) Full Text: Numdam EuDML
Loeser, F. Fonctions \(| f| ^ S\), théorie de Hodge et polynômes de Bernstein-Sato. \((| f| ^ s\) functions, Hodge theory and Bernstein-Sato polynomials). (French) Zbl 0621.32018 Géométrie algébrique et applications, C. R. 2ième Conf. int., La Rabida/Espagne 1984, III: Géométrie réelle. Systèmes différentiels et théorie de Hodge, Trav. Cours 24, 21-33 (1987). Reviewer: D.Barlet MSC: 32S05 32Sxx 32P05 32J25 PDF BibTeX XML
Loeser, F. Évaluation d’intégrales et théorie de Hodge. (Evaluation of integrals and Hodge theory). (French) Zbl 0614.32011 Hodge theory, Proc. U.S.-Spain Workshop, Sant Cugat/Spain 1985, Lect. Notes Math. 1246, 125-142 (1987). Reviewer: D.Barlet MSC: 32B15 32B20 32S05 32J25 32K15 PDF BibTeX XML
Loeser, François Some local consequences of Hodge theory. (Quelques conséquences locales de la théorie de Hodge.) (French) Zbl 0862.32020 Ann. Inst. Fourier 35, No. 1, 75-92 (1985). Reviewer: M.Sebastiani (MR 86g:32007) MSC: 32S05 32S35 14C30 58A14 PDF BibTeX XML Cite \textit{F. Loeser}, Ann. Inst. Fourier 35, No. 1, 75--92 (1985; Zbl 0862.32020) Full Text: DOI Numdam EuDML
Lichtin, Ben Some algebro-geometric formulae for poles of \(| f(x,y)| ^ s\). (English) Zbl 0577.32010 Am. J. Math. 107, 139-162 (1985). Reviewer: G.Roos MSC: 32Sxx 32A45 46F15 32B10 14B05 14E15 PDF BibTeX XML Cite \textit{B. Lichtin}, Am. J. Math. 107, 139--162 (1985; Zbl 0577.32010) Full Text: DOI
Cassou-Nogués, Pierrette Théorie des nombres et singularités. (Number theory and singularities). (French) Zbl 0584.10023 Sémin. Théor. Nombres, Univ. Bordeaux I 1983-1984, Exp. No. 34, 17 p. (1984). Reviewer: Ch.Parry MSC: 11M35 30B50 32A05 PDF BibTeX XML Full Text: EuDML
Barlet, D. Contribution effective de la monodromie aux développements asymptotiques. (French) Zbl 0542.32003 Ann. Sci. Éc. Norm. Supér. (4) 17, 293-315 (1984). MSC: 32S05 32B10 32C30 32Sxx 32C35 PDF BibTeX XML Cite \textit{D. Barlet}, Ann. Sci. Éc. Norm. Supér. (4) 17, 293--315 (1984; Zbl 0542.32003) Full Text: DOI Numdam EuDML
Malgrange, Bernard Polynômes de Bernstein-Sato et cohomologie evanescente. (French) Zbl 0528.32007 Astérisque 101-102, 243-267 (1983). MSC: 32A45 58J10 14F40 32L10 32C35 14F10 32K15 PDF BibTeX XML Cite \textit{B. Malgrange}, Astérisque 101--102, 243--267 (1983; Zbl 0528.32007)
Ishiura, Shinzo; Noumi, Masatoshi A calculus of the Gauss-Manin system of type \(A_ k\). I: The residual representation. II: The Hamiltonian representation. (English) Zbl 0524.32013 Proc. Japan Acad., Ser. A 58, 13-16, 62-65 (1982). MSC: 32S30 14F10 58J15 32L10 PDF BibTeX XML Cite \textit{S. Ishiura} and \textit{M. Noumi}, Proc. Japan Acad., Ser. A 58, 13--16, 62--65 (1982; Zbl 0524.32013) Full Text: DOI
Yano, Tamaki Exponents of singularities of plane irreducible curves. (English) Zbl 0519.14022 Sci. Rep. Saitama Univ., Ser. A 10, No. 2, 21-28 (1982). MSC: 14H20 14F45 PDF BibTeX XML Cite \textit{T. Yano}, Sci. Rep. Saitama Univ., Ser. A 10, No. 2, 21--28 (1982; Zbl 0519.14022)
Wagoner, J. B. Relative \(K_ 2\) of powers of an ideal. (English) Zbl 0472.13006 Math. Ann. 261, 201-207 (1982). MSC: 13D15 14F10 PDF BibTeX XML Cite \textit{J. B. Wagoner}, Math. Ann. 261, 201--207 (1982; Zbl 0472.13006) Full Text: DOI EuDML
Labute, John; Russell, Peter On \(K_2\) of truncated polynomial rings. (English) Zbl 0442.13014 J. Pure Appl. Algebra 6, 239-251 (1975). MSC: 13K05 14F10 13D15 18F25 PDF BibTeX XML Cite \textit{J. Labute} and \textit{P. Russell}, J. Pure Appl. Algebra 6, 239--251 (1975; Zbl 0442.13014) Full Text: DOI