Sarrazola-Alzate, Andrés A Beilinson-Bernstein theorem for twisted arithmetic differential operators on the formal flag variety. (English. French summary) Zbl 07892778 J. Théor. Nombres Bordx. 36, No. 1, 1-43 (2024). MSC: 14L30 13N10 32C38 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alzate, Andrés Sarrazola \(G\)-equivariance of formal models of flag varieties. (English) Zbl 07761207 Rend. Semin. Mat. Univ. Padova 150, 1-79 (2023). MSC: 22E50 20G05 14F10 14M15 14L30 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barlet, Daniel Algebraic differential equations of period-integrals. (English) Zbl 1523.32049 J. Singul. 25, 54-77 (2022). MSC: 32S25 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hefter, S. L.; Piven’, O. L. Infinite-order differential operators in the module of formal generalized functions and in a ring of formal power series. (English. Ukrainian original) Zbl 1531.13021 Ukr. Math. J. 74, No. 6, 896-915 (2022); translation from Ukr. Mat. Zh. 74, No. 6, 784-799 (2022). MSC: 13N10 46F15 × Cite Format Result Cite Review PDF Full Text: DOI
Kawakami, Tatsuro Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic. (English) Zbl 1502.14046 Adv. Math. 409, Part A, Article ID 108640, 35 p. (2022). Reviewer: Fei Ye (New York) MSC: 14F17 14D15 14E30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandiera, Ruggero; Manetti, Marco; Meazzini, Francesco Deformations of polystable sheaves on surfaces: quadraticity implies formality. (English) Zbl 1502.14039 Mosc. Math. J. 22, No. 2, 239-263 (2022). Reviewer: Emanuele Pavia (Trieste) MSC: 14F08 14D15 16W50 18N40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Huyghe, Christine; Schmidt, Tobias; Strauch, Matthias Arithmetic differential operators with congruence level structures: first results and examples. (English) Zbl 1497.14038 J. Number Theory 237, 332-352 (2022). Reviewer: Shishir Agrawal (San Diego) MSC: 14F10 14F30 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Sabbah, Claude Integrable deformations and degenerations of some irregular singularities. (English) Zbl 1487.34168 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 755-794 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M56 32C38 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soleymanpour, Ghorban; Janfada, Ali S. Some algebras in terms of differential operators. (English) Zbl 1467.13038 Int. Electron. J. Algebra 29, 120-133 (2021). MSC: 13N10 55S10 05A40 16T05 55N22 × Cite Format Result Cite Review PDF Full Text: Link
Iohara, Kenji; Malbos, Philippe Maurice Janet’s algorithms on systems of linear partial differential equations. (English) Zbl 1467.01007 Arch. Hist. Exact Sci. 75, No. 1, 43-81 (2021). Reviewer: Reinhard Siegmund-Schultze (Kristiansand) MSC: 01A60 13P10 35-03 35A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Caro-Tuesta, N.; Levcovitz, D. Module structure of certain rings of differential operators. (English) Zbl 1442.16025 Algebr. Represent. Theory 23, No. 4, 1637-1657 (2020). MSC: 16S32 13N10 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Fernández, María-Cruz Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems. (English) Zbl 1476.14047 J. Pure Appl. Algebra 224, No. 8, Article ID 106350, 14 p. (2020). MSC: 14F10 13N10 33C70 14M25 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manetti, Marco; Meazzini, Francesco Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions. (English) Zbl 1431.14007 Indag. Math., New Ser. 31, No. 1, 7-32 (2020). Reviewer: Simon Felten (Mainz) MSC: 14D15 16W50 18N40 32G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Shaoshi; Kauers, Manuel; Li, Ziming; Zhang, Yi Apparent singularities of D-finite systems. (English) Zbl 1427.13036 J. Symb. Comput. 95, 217-237 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 13P10 68W30 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moussavi, Ahmad; Paykan, Kamal Triangular matrix representation of differential polynomial rings. (English) Zbl 1450.16035 Bol. Soc. Mat. Mex., III. Ser. 25, No. 1, 87-96 (2019). MSC: 16W60 16W70 16S36 16P40 × Cite Format Result Cite Review PDF Full Text: DOI
Switala, Nicholas; Zhang, Wenliang A dichotomy for the injective dimension of \(F\)-finite \(F\)-modules and holonomic \(D\)-modules. (English) Zbl 1440.13109 Commun. Algebra 47, No. 6, 2525-2539 (2019). MSC: 13N10 13A35 13D45 13F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borger, James; Saha, Arnab Differential characters of Drinfeld modules and de Rham cohomology. (English) Zbl 1451.11058 Algebra Number Theory 13, No. 4, 797-837 (2019). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR3951581) MSC: 11G99 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mezuman, Leanne; Yakovenko, Sergei Formal factorization of higher order irregular linear differential operators. (English) Zbl 1427.13033 Arnold Math. J. 4, No. 3-4, 279-299 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 13N10 16W25 34M03 34M25 13F25 14B05 12H05 12H20 14M25 14J17 32S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monteiro Fernandes, Teresa; Sabbah, Claude Relative Riemann-Hilbert correspondence in dimension one. (English) Zbl 1448.32001 Port. Math. (N.S.) 74, No. 2, 149-159 (2017). MSC: 32C38 14F10 32S40 32S60 35N15 35Q15 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Switala, Nicholas On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero. (English) Zbl 1405.13033 Compos. Math. 153, No. 10, 2075-2146 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 13D45 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaitsgory, Dennis; Rozenblyum, Nick A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. (English) Zbl 1409.14003 Mathematical Surveys and Monographs 221, 2. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3570-7/hbk; 978-1-4704-3568-4/set; 978-1-4704-4087-9/ebook). xxxv, 436 p. (2017). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14-02 14A20 14F05 14F10 18D05 18G55 × Cite Format Result Cite Review PDF
Switala, Nicholas Van den Essen’s theorem on the de Rham cohomology of a holonomic \(\mathcal{D}\)-module over a formal power series ring. (English) Zbl 1366.14020 Expo. Math. 35, No. 2, 149-165 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F10 14F40 47F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Xing; Keigher, William F.; Rosenkranz, Markus Divided powers and composition in integro-differential algebras. (English) Zbl 1392.12002 J. Pure Appl. Algebra 221, No. 10, 2525-2556 (2017). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H05 16W60 16W80 65L10 47G20 13J10 × Cite Format Result Cite Review PDF Full Text: DOI
Nevins, Thomas Quantizations, representations, and Morse theory. (English) Zbl 1352.14008 Notices Am. Math. Soc. 63, No. 9, 1013 (2016). MSC: 14D05 14F10 32S40 32C38 14D15 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Shilin The Dolbeault dga of a formal neighborhood. (English) Zbl 1360.14014 Trans. Am. Math. Soc. 368, No. 11, 7809-7843 (2016). Reviewer: Julian Holstein (Lancaster) MSC: 14B20 18D20 18E30 58A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graham-Squire, Adam Calculation of local formal Mellin transforms. (English) Zbl 1339.14005 Pac. J. Math. 283, No. 1, 115-137 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 14B20 32C38 34M35 58Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van den Bergh, Michel On involutivity of \(p\)-support. (English) Zbl 1331.14005 Int. Math. Res. Not. 2015, No. 15, 6295-6304 (2015). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14D15 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Xing; Guo, Li; Rosenkranz, Markus Free integro-differential algebras and Gröbner-Shirshov bases. (English) Zbl 1337.16038 J. Algebra 442, 354-396 (2015). Reviewer: Leonid A. Bokut’ (Novosibirsk) MSC: 16Z05 16W25 16W60 13P10 16S10 08A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelb, Robert \(D\)-modules. Local formal convolution of elementary formal meromorphic connections. (English) Zbl 1308.32014 Augsburger Schriften zur Mathematik, Physik und Informatik 27. Berlin: Logos Verlag; Augsburg: Univ. Augsburg, Mathematisch-Naturwissenschaftliche Fakulät (Diss. 2014) (ISBN 978-3-8325-3894-1/pbk). 94 p. (2015). MSC: 32C38 × Cite Format Result Cite Review PDF
Robertz, Daniel Formal algorithmic elimination for PDEs. (English) Zbl 1339.35007 Lecture Notes in Mathematics 2121. Cham: Springer (ISBN 978-3-319-11444-6/pbk; 978-3-319-11445-3/ebook). viii, 283 p. (2014). Reviewer: Werner M. Seiler (Kassel) MSC: 35-02 12H05 13P10 16E05 16S36 35-04 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Dherin, Benoit; Mencattini, Igor \(G\)-systems and deformation of \(G\)-actions on \(\mathbb{R}^{d}\). (English) Zbl 1314.13044 J. Math. Phys. 55, No. 1, 011702, 9 p. (2014). Reviewer: Vesselin Drensky (Sofia) MSC: 13N10 14R20 16S80 16W50 22F05 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martins, Ana Rita; Fernandes, Teresa Monteiro; Raimundo, David Extension of functors for algebras of formal deformation. (English) Zbl 1282.32006 Glasg. Math. J. 56, No. 1, 103-141 (2014). MSC: 32C38 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herscovich, Estanislao A-infinity-algebras, spectral sequences and exact couples. arXiv:1410.6728 Preprint, arXiv:1410.6728 [math.KT] (2014). MSC: 14D15 16E45 16S80 16W70 16W80 18G40 18G55 × Cite Format Result Cite Full Text: arXiv OA License
Raimundo, David Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\). (English) Zbl 1295.35018 Rend. Semin. Mat. Univ. Padova 130, 107-125 (2013). MSC: 35A27 32C38 46L65 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graham-Squire, Adam Calculation of local formal Fourier transforms. (English) Zbl 1271.14023 Ark. Mat. 51, No. 1, 71-84 (2013). Reviewer: Alexandru Dimca (Nice) MSC: 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berthelot, Pierre A note on Frobenius divided modules in mixed characteristics. (Une note sur les modules à descente infinie par Frobenius en caractéristique mixte.) (English. French summary) Zbl 1277.14016 Bull. Soc. Math. Fr. 140, No. 3, 441-458 (2012). Reviewer: Werner Kleinert (Berlin) MSC: 14F10 14F30 16S32 12H05 12H25 13N10 12Hxx × Cite Format Result Cite Review PDF Full Text: arXiv Link
Dickenstein, Alicia; Martínez, Federico N.; Matusevich, Laura Felicia Nilsson solutions for irregular A-hypergeometric systems. (English) Zbl 1251.33012 Rev. Mat. Iberoam. 28, No. 3, 723-758 (2012). Reviewer: Peter Massopust (München) MSC: 33C70 14F10 14M25 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapranov, Mikhail; Vasserot, Eric Supersymmetry and the formal loop space. (English) Zbl 1219.14026 Adv. Math. 227, No. 3, 1078-1128 (2011). Reviewer: Christopher P. Bendel (Menomonie) MSC: 14F40 14A99 14M30 17B10 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kedlaya, Kiran S. Good formal structures for flat meromorphic connections. II: Excellent schemes. (English) Zbl 1282.14037 J. Am. Math. Soc. 24, No. 1, 183-229 (2011). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prelli, Luca Microlocalization with growth conditions of holomorphic functions. (Microlocalisation á croissance des fonctions holomorphes.) (English) Zbl 1238.32009 C. R., Math., Acad. Sci. Paris 348, No. 23-24, 1263-1266 (2010). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 32C35 32C38 32C05 32C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mebkhout, Zoghman; Narváez Macarro, Luis The total symbol theorem of a \(p\)-adic differential operator. (Le théorème du symbole total d’un opérateur différentiel \(p\)-adique.) (French) Zbl 1213.14042 Rev. Mat. Iberoam. 26, No. 3, 825-859 (2010). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Seiler, Werner M. Under- and overdetermined systems of differential equations. (Unter- und überbestimmte Systeme von Differentialgleichungen.) (German) Zbl 1207.35003 Math. Semesterber. 57, No. 2, 231-268 (2010). Reviewer: Lutz Recke (Berlin) MSC: 35-02 35N99 34A09 35A30 13C15 58A20 × Cite Format Result Cite Review PDF Full Text: DOI
Eriksen, Eivind Computing noncommutative deformations of presheaves and sheaves of modules. (English) Zbl 1196.14016 Can. J. Math. 62, No. 3, 520-542 (2010). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 13N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seiler, Werner M. Involution. The formal theory of differential equations and its applications in computer algebra. (English) Zbl 1205.35003 Algorithms and Computation in Mathematics 24. Berlin: Springer (ISBN 978-3-642-01286-0/hbk; 978-3-642-01287-7/ebook). xxii, 650 p. (2010). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35-02 13-02 13P10 13P20 35-04 68W30 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Eriksen, Eivind Computing noncommutative global deformations of D-modules. (English) Zbl 1160.14300 Silvestrov, Sergeĭ (ed.) et al., Generalized Lie theory in mathematics, physics and beyond. Berlin: Springer (ISBN 978-3-540-85331-2/hbk). 109-117 (2009). MSC: 14A22 14D15 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhat, V. K. Ideal Krull-symmetry of iterated extensions. (English) Zbl 1289.16041 Sib. Èlektron. Mat. Izv. 5, 193-199 (2008). MSC: 16S36 16W60 16P60 16P40 × Cite Format Result Cite Review PDF Full Text: Link
Bavula, V. V.; Hinchcliffe, V. Morita invariance of the filter dimension and of the inequality of Bernstein. (English) Zbl 1178.16003 Algebr. Represent. Theory 11, No. 5, 497-504 (2008). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16D60 16P90 16E10 16W60 16D90 16S32 16D30 16W70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bavula, V. V. The Carlitz algebras. (English) Zbl 1140.16009 J. Pure Appl. Algebra 212, No. 5, 1175-1186 (2008). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S32 16D60 16W60 16P60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
André, Yves Structure of formal meromorphic connections in several variables and semicontinuity of the irregularity. (Structure des connexions méromorphes formelles de plusieurs variables et semi-continuité de l’irrégularité.) (French) Zbl 1149.32017 Invent. Math. 170, No. 1, 147-198 (2007). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 35A27 32C38 35A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roucairol, Céline Formal structure of direct image of holonomic \({\mathcal{D}}\)-modules of exponential type. (English) Zbl 1140.32021 Manuscr. Math. 124, No. 3, 299-318 (2007). Reviewer: G. K. Sankaran (Bath) MSC: 32S40 32C38 34M35 32S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eshmatov, Farkhod DG-models of projective modules and Nakajima quiver varieties. (English) Zbl 1183.16023 Homology Homotopy Appl. 9, No. 2, 177-208 (2007). MSC: 16S38 16E45 16G20 16S80 14D15 14A22 14B07 16D40 18E30 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Papalexiou, Nikolaos Formal extension and quotients of the invariant holonomic system. (English) Zbl 1184.17006 J. Pure Appl. Algebra 210, No. 3, 685-694 (2007). MSC: 17B35 22E47 32C38 × Cite Format Result Cite Review PDF Full Text: DOI
Bavula, V. Filter dimension. (English) Zbl 1211.16017 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 77-105 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 16P90 16-02 16E10 16D60 16W60 16S32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almkvist, Gert; Zudilin, Wadim Differential equations, mirror maps and zeta values. (English) Zbl 1118.14043 Yui, Noriko (ed.) et al., Mirror symmetry V. Proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry, December 6–11, 2003. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 0-8218-4251-X/pbk). AMS/IP Studies in Advanced Mathematics 38, 481-515 (2006). Reviewer: Noriko Yui (Kingston) MSC: 14J32 11M06 11B83 32S40 33C20 34M15 34M25 × Cite Format Result Cite Review PDF Full Text: arXiv Backlinks: MO
Bronstein, Manuel; Li, Ziming; Wu, Min Picard-Vessiot extensions for linear functional systems. (English) Zbl 1360.12005 Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 68-75 (2005). MSC: 12H05 12H20 12Y05 35A08 68W30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Manjra, Said Arithmetic differential equations and \(E\)-functions. (English) Zbl 1142.12003 Ill. J. Math. 49, No. 4, 1061-1092 (2005). Reviewer: Laurent Berger (Lyon) MSC: 12H25 13N10 × Cite Format Result Cite Review PDF Full Text: arXiv
Almkvist, Gert; van Enckevort, Christian; van Straten, Duco; Zudilin, Wadim Tables of Calabi–Yau equations. arXiv:math/0507430 Preprint, arXiv:math/0507430 [math.AG] (2005). MSC: 14J32 11B83 32S40 33C20 34M15 34M25 × Cite Format Result Cite Full Text: arXiv OA License
Noot-Huyghe, Christine Fourier transform of arithmetic \({\mathcal D}\)-modules. I. (Transformation de Fourier des \({\mathcal D}\)-modules arithmétiques. I.) (French) Zbl 1126.14016 Adolphson, Alan (ed.) et al., Geometric aspects of Dwork theory. Vol. I, II. Berlin: Walter de Gruyter (ISBN 3-11-017478-2/hbk). 857-907 (2004). Reviewer: Werner Kleinert (Berlin) MSC: 14D15 14F10 14F30 14D10 18F20 × Cite Format Result Cite Review PDF
Caro, Daniel Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) (French. Abridged English version) Zbl 1047.14009 C. R., Math., Acad. Sci. Paris 338, No. 2, 145-150 (2004). Reviewer: Lucian Bădescu (Genova) MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI
Montaner, Josep Àlvarez Some numerical invariants of local rings. (English) Zbl 1060.13006 Proc. Am. Math. Soc. 132, No. 4, 981-986 (2004). Reviewer: Ali Benhissi (Monastir) MSC: 13D45 13N10 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Martins, José Luis R. F. On the representations of formal solutions of differential equations. (Sur les représentations de solutions formelles d’équations différentielles.) (French) Zbl 1058.35056 Fauvet, F. (ed.) et al., From combinatorics to dynamical systems. Journées de calcul formel en l’honneur de Jean Thomann, Marseille, France, March 22–23, 2002. Berlin: de Gruyter (ISBN 3-11-017875-3/pbk). IRMA Lect. Math. Theor. Phys. 3, 63-86 (2003). Reviewer: Josef Diblík (Brno) MSC: 35C10 34M25 34M30 32C38 35A20 × Cite Format Result Cite Review PDF
Noot-Huyghe, Christine A comparison theorem between the Berthelot and the Mebkhout-Narváez-Macarro fibre bundles of differential operators. (Un théorème de comparaison entre les faisceaux d’opérateurs différentiels de Berthelot et de Mebkhout-Narváez-Macarro.) (French) Zbl 1053.14015 J. Algebr. Geom. 12, No. 1, 147-199 (2003). Reviewer: Zbigniew Hajto (Kraków) MSC: 14F10 14G20 32C38 × Cite Format Result Cite Review PDF Full Text: DOI
van der Put, Marius; Singer, Michael F. Galois theory of linear differential equations. (English) Zbl 1036.12008 Grundlehren der Mathematischen Wissenschaften 328. Berlin: Springer (ISBN 3-540-44228-6/hbk). xvii, 438 p. (2003). Reviewer: Andy R. Magid (Norman) MSC: 12H05 12-02 34Mxx 34A30 34-02 × Cite Format Result Cite Review PDF Backlinks: MO
Aravire, Roberto; Jacob, Bill Special forms of two symbols are division algebras. (English) Zbl 1008.16019 Manuscr. Math. 108, No. 2, 139-162 (2002). Reviewer: Ivan D.Chipchakov (Sofia) MSC: 16K20 12J20 16K50 16W60 × Cite Format Result Cite Review PDF Full Text: DOI
Darko, Patrick W. Sobolev cohomology for locally polycylindrical domains. (English) Zbl 1011.32017 Int. J. Math. Math. Sci. 29, No. 4, 187-194 (2002). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32L20 32W05 32W10 35N15 32C38 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Berthelot, Pierre Introduction to the arithmetic theory of \(\mathcal D\)-modules. (Introduction à la théorie arithmétique des \(\mathcal D\)-modules.) (French) Zbl 1098.14010 Berthelot, Pierre (ed.) et al., \(p\)-adic cohomology and arithmetic applications (II). Paris: Société Mathématique de France (ISBN 2-85629-117-1/pbk). Astérisque 279, 1-80 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 14F10 14F30 14F40 14G22 16S32 32C38 13N10 14D15 × Cite Format Result Cite Review PDF
Brumatti, Paulo; Lequain, Yves; Levcovitz, Daniel; Simis, Aron A note on the Nakai conjecture. (English) Zbl 1061.13012 Proc. Am. Math. Soc. 130, No. 1, 15-21 (2002). MSC: 13N15 13B22 12H05 13F25 13N10 × Cite Format Result Cite Review PDF Full Text: DOI
Berni, Olivier Laplace transform of temperate holomorphic functions. (English) Zbl 1003.32001 Compos. Math. 129, No. 2, 183-201 (2001). Reviewer: Edoardo Ballico (Povo) MSC: 32C38 44A10 42A38 14F10 × Cite Format Result Cite Review PDF Full Text: DOI
Monteiro Fernandes, Teresa Formal and tempered solutions of regular \(\mathcal D\)-modules. (English) Zbl 0997.32010 Compos. Math. 128, No. 3, 241-259 (2001). MSC: 32C38 58J15 58J45 18E30 46M20 × Cite Format Result Cite Review PDF Full Text: DOI
Puninski, Gennadi Pure-injective and finite length modules over certain rings of differential polynomials. (English) Zbl 1060.16500 Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 171-185 (2000). MSC: 16D50 16S32 16D90 16G70 16B70 03C60 16W60 × Cite Format Result Cite Review PDF
Puninski, Gennadi Finite length and pure-injective modules over a ring of differential operators. (English) Zbl 0974.16018 J. Algebra 231, No. 2, 546-560 (2000). Reviewer: M.Prest (Manchester) MSC: 16S32 16D70 16G60 16G70 16D90 16B70 03C60 16W60 16D50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jordan, David A. Graded algebras generated by Eulerian derivatives. (English) Zbl 0967.16008 Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25-30, 1998. Berlin: Walter de Gruyter. 145-153 (2000). Reviewer: Kenneth R.Goodearl (Santa Barbara) MSC: 16P40 16W50 16S36 16S32 16S15 16W60 × Cite Format Result Cite Review PDF
Lyubeznik, Gennady Injective dimension of \(D\)-modules: A characteristic-free approach. (English) Zbl 0989.13010 J. Pure Appl. Algebra 149, No. 2, 205-212 (2000). Reviewer: Serban Raianu (Syracuse) MSC: 13D05 13F25 13D45 13N10 × Cite Format Result Cite Review PDF Full Text: DOI
Virrion, Anne Dualité locale et holonomie pour les \({\mathcal D}\)-modules arithmétiques. (Local duality and holonomy for arithmetic \({\mathcal D}\)-modules). (French) Zbl 0955.14015 Bull. Soc. Math. Fr. 128, No. 1, 1-68 (2000). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14F30 14G22 14G20 14F10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Burchard, Paul; Clemens, Herb Normal differential operators and deformation theory. (English) Zbl 0971.14019 Ellingsrud, Geir (ed.) et al., Recent progress in intersection theory. Based on the international conference on intersection theory, Bologna, Italy, December 1997. Boston, MA: Birkhäuser. Trends in Mathematics. 33-84 (2000). MSC: 14F10 32G10 14B12 14D15 32W99 × Cite Format Result Cite Review PDF Full Text: arXiv
Keigher, William F.; Pritchard, F. Leon Hurwitz series as formal functions. (English) Zbl 0978.12007 J. Pure Appl. Algebra 146, No. 3, 291-304 (2000). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 13N05 13A35 13J05 13J10 13F25 × Cite Format Result Cite Review PDF Full Text: DOI
Pommaret, J. F.; Quadrat, A. Localization and parametrization of linear multidimensional control systems. (English) Zbl 0948.93016 Syst. Control Lett. 37, No. 4, 247-260 (1999). MSC: 93B25 93B15 16D80 × Cite Format Result Cite Review PDF Full Text: DOI
Varadarajan, V. S. Group theoretic aspects of linear meromorphic differential equations. (English) Zbl 0944.34073 Dyn. Contin. Discrete Impulsive Syst. 5, No. 1-4, 341-349 (1999). Reviewer: N.V.Grigorenko (Kyïv) MSC: 34M25 34M05 13N05 × Cite Format Result Cite Review PDF
Gerstenhaber, Murray; Wilkerson, Clarence W. On the deformation of rings and algebras. V: Deformation of differential graded algebras. (English) Zbl 0918.16024 McCleary, John (ed.), Higher homotopy structures in topology and mathematical physics. Proceedings of an international conference, June 13–15, 1996, Poughkeepsie, NY, USA, to honor the 60th birthday of Jim Stasheff. Providence, RI: American Mathematical Society. Contemp. Math. 227, 89-101 (1999). Reviewer: A.G.Aleksandrov (Moskva) MSC: 16S80 16W50 × Cite Format Result Cite Review PDF
Pommaret, J. F.; Quadrat, A. Generalized Bézout identity. (English) Zbl 1073.93516 Appl. Algebra Eng. Commun. Comput. 9, No. 2, 91-116 (1998). MSC: 93B25 13N10 × Cite Format Result Cite Review PDF Full Text: DOI
Bavula, Vladimir V. Filter dimension and its application. (English) Zbl 0891.16018 Dlab, Vlastimil (ed.) et al., Trends in ring theory. Proceedings of a conference at Miskolc, Hungary, July 15–20, 1996. Providence, RI: American Mathematical Society. CMS Conf. Proc. 22, 1-12 (1998). Reviewer: G.Krause (Winnipeg) MSC: 16P90 16W60 16P60 16S32 13N10 × Cite Format Result Cite Review PDF
Kashiwara, Masaki; Schapira, Pierre Laplace transform and Fourier-Sato transform. (English) Zbl 0932.32015 RIMS Kokyuroku 983, 33-35 (1997). Reviewer: E.Pascu (Montreal) MSC: 32C38 32C37 44A10 46F12 42B10 × Cite Format Result Cite Review PDF
Wang, Zhixi Lifting minimal resolutions over Zariskian filtered rings. (English) Zbl 0907.16023 Acta Math. Sin., New Ser. 13, No. 4, 513-516 (1997). Reviewer: C.Năstăsescu (Bucureşti) MSC: 16W60 16W50 16S32 18G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bonanzinga, V.; Matsumura, H. \(F_m\)-strongly integrable derivations. (English) Zbl 0920.13024 Commun. Algebra 25, No. 12, 4039-4046 (1997). Reviewer: R.M.Cohn (New Brunswick) MSC: 13N10 12H05 14L05 × Cite Format Result Cite Review PDF Full Text: DOI
Keigher, William F. On the ring of Hurwitz series. (English) Zbl 0884.13013 Commun. Algebra 25, No. 6, 1845-1859 (1997). Reviewer: J.B.Prolla (Campinas) MSC: 13N05 13F25 13A35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Meng Björk’s problem about filtered rings and graded rings. (English) Zbl 0865.16029 Chin. Sci. Bull. 41, No. 19, 1585-1588 (1996). MSC: 16W50 16W60 16P40 × Cite Format Result Cite Review PDF
Li, Huishi; Van Oystaeyen, Freddy Zariskian filtrations. (English) Zbl 0862.16027 K-Monographs in Mathematics. 2. Dordrecht: Kluwer Academic Publishers. ix, 252 p. (1996). Reviewer: Y.Kurata (Hiratsuka) MSC: 16W60 16-02 16W50 16S32 17B35 17B37 13A30 × Cite Format Result Cite Review PDF
van den Essen, A. Algebraic microlocalization and modules with regular singularities over filtered rings. (English) Zbl 0859.16016 Hazewinkel, M. (ed.), Handbook of algebra. Volume 1. Amsterdam: North-Holland. 813-840 (1996). Reviewer: A.G.Aleksandrov (Moskva) MSC: 16S32 16W60 16U20 32C38 35A27 35B65 × Cite Format Result Cite Review PDF
Bavula, Vladimir Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras. (English) Zbl 0855.16005 Commun. Algebra 24, No. 6, 1971-1992 (1996). Reviewer: G.Krause (Winnipeg) MSC: 16D60 16P90 16E10 16W60 17B35 16P40 16S32 × Cite Format Result Cite Review PDF Full Text: DOI
Bavula, V. V. Classification of modules of Gel’fand-Kirillov dimension \(n\) and multiplicity \(1\) over the Weyl algebra \(A_n\). (English. Russian original) Zbl 0906.16010 Izv. Math. 60, No. 5, 877-885 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 5, 3-12 (1996). Reviewer: A.Marcus (Cluj-Napoca) MSC: 16S32 16D60 16W60 16P90 × Cite Format Result Cite Review PDF Full Text: DOI
Radwan, A. E. Zariski filtered sheaves. (English) Zbl 0961.16030 Bull. Calcutta Math. Soc. 87, No. 4, 391-400 (1995). Reviewer: U.N.Bhosle (Bombay) MSC: 16W70 13A30 16S32 16S60 × Cite Format Result Cite Review PDF
Zhou, Meng Characteristic variety description of holonomic modules over A. G. filtered rings. (Chinese. English summary) Zbl 0844.16027 J. Wuhan Univ., Nat. Sci. Ed. 41, No. 5, 557-562 (1995). MSC: 16W60 14F10 16S32 32C38 13N10 × Cite Format Result Cite Review PDF
Garnier, Laurent Division theorems on \(\widehat {\mathcal D}^{(0)}_{{\mathcal X}\mathbb{Q}}\) and applications. (Théorèmes de division sur \(\widehat {\mathcal D}^{(0)}_{{\mathcal X}\mathbb{Q}}\) et applications.) (French) Zbl 0873.14017 Bull. Soc. Math. Fr. 123, No. 4, 547-589 (1995). MSC: 14F10 14G20 14F30 12H25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Wang, Zhixi On holonomic modules over Auslander-Gorenstein filtered rings. (Chinese. English summary) Zbl 0842.16016 Acta Math. Sin. 38, No. 5, 577-582 (1995). Reviewer: Wang Zhixi (Beijing) MSC: 16P40 16W60 16E10 16S32 × Cite Format Result Cite Review PDF
Huyghe, Christine Geometric interpretation on the projective space of coherent \(A_ N(K)^†\)-modules. (Interprétation géométrique sur l’espace projectif des \(A_ N(K)^†\)-modules cohérents.) (French) Zbl 0872.14010 C. R. Acad. Sci., Paris, Sér. I 321, No. 5, 587-590 (1995). Reviewer: L.Narváez-Macarro (Sevilla) MSC: 14F10 × Cite Format Result Cite Review PDF
Nowicki, Andrzej; Strelcyn, Jean-Marie Generators of rings of constants for some diagonal derivations in polynomial rings. (English) Zbl 0832.12002 J. Pure Appl. Algebra 101, No. 2, 207-212 (1995). Reviewer: John N. Mordeson (Omaha) MSC: 12E99 13F25 13N10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Meng On \(B\)-chains of finitely generated modules over A.G. rings. (Chinese. English summary) Zbl 0861.16016 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 18, No. 4, 338-342 (1994). MSC: 16P70 13H15 13N10 16W60 × Cite Format Result Cite Review PDF
Bavula, V. V. Identification of the Hilbert function and Poincaré series, and the dimension of modules over filtered rings. (English. Russian original) Zbl 0845.16018 Russ. Acad. Sci., Izv., Math. 44, No. 2, 225-246 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 2, 19-39 (1994). MSC: 16S32 13D40 16P40 16P60 16W60 13A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bratti, G. Holonomy of simple modules on certain algebras of differential operators. (Italian. English summary) Zbl 0840.13015 Rend. Mat. Appl., VII. Ser. 14, No. 3, 523-531 (1994). Reviewer: J.B.Prolla (Campinas) MSC: 13N05 13C15 13F25 32B05 × Cite Format Result Cite Review PDF
Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J. An introduction to \(G\)-functions. (English) Zbl 0830.12004 Annals of Mathematics Studies. 133. Princeton, NJ: Princeton University Press. xxi, 323 p. $59.50; £50.00 / hbk; $ 29.95; £25.00 / pbk (1994). Reviewer: D.Bertrand (Paris) MSC: 12H25 12-02 11J91 11S80 14G10 14G20 32S40 33C60 41A21 × Cite Format Result Cite Review PDF Full Text: DOI