Contents of Volume 58
Differential Galois Theory
Editors: Teresa Crespo and Zbigniew Hajto
doi:10.4064/bc58
Editors: Teresa Crespo and Zbigniew Hajto
doi:10.4064/bc58
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Uniformization of certain Shimura curves Banach Center Publications 58 (2002), 13-26 MSC: Primary 11G18; Secondary 14G35 DOI: 10.4064/bc58-0-1
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Algebraic solutions of the Lamé equation Banach Center Publications 58 (2002), 37-43 MSC: Primary 34A30; Secondary 34M50, 34M35 DOI: 10.4064/bc58-0-3
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Gröbner $\delta$-bases and Gröbner bases for differential operators Banach Center Publications 58 (2002), 45-61 MSC: Primary 13N10; Secondary 13P10, 16S32, 32C38, 68W30 DOI: 10.4064/bc58-0-4
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Kovalevska vs. Kovacic—two different notions of integrabilityand their connections Banach Center Publications 58 (2002), 63-73 MSC: Primary 34M55; Secondary 34M35 DOI: 10.4064/bc58-0-5
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An existence theorem for systems of implicit differential equations Banach Center Publications 58 (2002), 75-77 MSC: Primary 12H05; Secondary 12D DOI: 10.4064/bc58-0-6
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Invariants and differential Galois groups in degree four Banach Center Publications 58 (2002), 79-87 MSC: Primary 12H99 DOI: 10.4064/bc58-0-7
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Decomposing a 4th order linear differential equation as a symmetric product Banach Center Publications 58 (2002), 89-96 MSC: Primary 34-04; Secondary 34A30 DOI: 10.4064/bc58-0-8
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Computing the Galois group of a linear differential equation Banach Center Publications 58 (2002), 97-138 MSC: Primary 34A30; Secondary 03C07, 12H05, 12L05, 14D05 DOI: 10.4064/bc58-0-9
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Remarks on the intrinsic inverse problem Banach Center Publications 58 (2002), 127-35 MSC: Primary 12H05; Secondary 20G15 DOI: 10.4064/bc58-0-2
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Non-integrability of certain Hamiltonian systems. Applications of the Morales-Ramis differential Galois extension of Ziglin theory Banach Center Publications 58 (2002), 139-150 MSC: Primary 37J30; Secondary 70F20, 34Mxx DOI: 10.4064/bc58-0-10
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The Picard–Vessiot closure in differential Galois theory Banach Center Publications 58 (2002), 151-164 MSC: Primary 12H05; Secondary 14L15, 20G20 DOI: 10.4064/bc58-0-11
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A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory Banach Center Publications 58 (2002), 165-175 MSC: Primary 37J30; Secondary 34M35, 12H05, 34M15, 70G65 DOI: 10.4064/bc58-0-12
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The fourteenth problem of Hilbert for polynomial derivations Banach Center Publications 58 (2002), 177-188 MSC: Primary 13N10, 12H05; Secondary 13A50, 14R20 DOI: 10.4064/bc58-0-13
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Finite-dimensional differential algebraic groups and the Picard-Vessiot theory Banach Center Publications 58 (2002), 189-199 MSC: Primary 12H05; Secondary 34M60 DOI: 10.4064/bc58-0-14
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A structure theorem for differential algebras Banach Center Publications 58 (2002), 201-206 MSC: Primary 12H05; Secondary 13N DOI: 10.4064/bc58-0-15
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A survey on local cohomology and $\cal D$-modules Banach Center Publications 58 (2002), 207-218 MSC: Primary 13D45; Secondary 52C35 DOI: 10.4064/bc58-0-16
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Polynomial Riccati equations with algebraic solutions Banach Center Publications 58 (2002), 219-231 MSC: Primary 12H05; Secondary 34C05, 58F21 DOI: 10.4064/bc58-0-17
