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Publications and preprints by members of the SÉDIGA project

ANR Programme blanc N° ANR-08-BLAN-0317-01/02

version francaiseversion anglaise

2013

  • Hélène Esnault, Claude Sabbah & Jeng-Daw Yu, \(E_1\)-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito), arXiv: 1302.4537

  • Daniel Barlet, Asymptotics of a vanishing period : characterization of semi-simplicity, arXiv: 1301.7589

    • 2012

  • Francisco Jesús Castro-Jiménez & Michel Granger, Gevrey expansions of hypergeometric integrals I, arXiv: 1212.1410

  • Alexandru Dimca & Morihiko Saito, Graded duality of Koszul complexes associated with certain homogeneous polynomials, arXiv: 1212.1081

  • Claude Sabbah & Morihiko Saito, Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems, arXiv: 1212.0436

  • Michel Granger & Mathias Schulze, Quasihomogeneity of curves and the Jacobian endomorphism ring, arXiv: 1211.5443

  • Thomas Reichelt & Christian Sevenheck, Non-affine Landau-Ginzburg models and intersection cohomology, arXiv: 1210.6527

  • Thomas Reichelt, A comparison theorem between Radon and Fourier-Laplace transforms for D-modules, arXiv: 1210.6263

  • Jean-Baptiste Teyssier, Une variante des cycles micro-caractéristiques pour les D-modules: aspect formel en codimension 1, arXiv: 1210.3189

  • Alexandru Dimca, Sygygies of Jacobian ideals and defects of linear systems, arXiv: 1210.1795

  • Michael Dettweiler & Claude Sabbah, Hodge theory of the middle convolution, arXiv: 1209.4185

  • Thomas Reichelt, Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules, arXiv: 1209.3941

  • Francesco Baldassarri, Radius of convergence of \(p\)-adic connections and the Berkovich ramification locus, arXiv: 1209.0081

  • Yves André, Uniform sheaves and differential equations, arXiv: 1207.3380

  • Alexandru Dimca & Morihiko Saito, Number of Jordan blocks of the maximal size for local monodromies, arXiv: 1206.3895

  • Alexandru Dimca & Stefan Papadima, Nonabelian cohomology jump loci from an analytic viewpoint, arXiv: 1206.3773

  • Teresa Monteiro Fernandes & Claude Sabbah, On the de Rham complex of mixed twistor \(\mathcal D\)-modules, arXiv: 1204.1331

  • Philip Boalch, Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves, arXiv: 1203.6607

  • Daniel Barlet, Construction of quasi-invariant holomorphic parameters for the Gauss-Manin connection of a holomorphic map to a curve (second version), arXiv: 1203.5990

  • Antoine Douai, Quantum differential systems and some applications to mirror symmetry, arXiv: 1203.5920

  • Claude Sabbah, Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki] (Séminaire Bourbaki, 64e année, 2011-2012, in French), arXiv: 1201.4531

  • Daniel Barlet, Asymptotics of a vanishing period : General existence theorem and basic properties of frescos, arXiv: 1201.2757

    • 2011

  • Philip Boalch, Geometry and braiding of Stokes data; Fission and wild character varieties, arXiv: 1111.6228

  • Alexandru Dimca & Gabriel Sticlaru, On the syzygies and Alexander polynomials of nodal hypersurfaces, arXiv: 1111.1533

  • Alexandru Dimca & Morihiko Saito, Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials, arXiv: 1110.4840

  • Daniel Barlet, The theme of a vanishing period, arXiv: 1110.1353

  • Michel Granger & Mathias Schulze, Dual logarithmic residues and free complete intersections, arXiv: 1109.2612

  • Alexandru Dimca & Gabriel Sticlaru, Koszul complexes and pole order filtrations, arXiv: 1108.3976

  • Francesco Baldassarri, Appendix: proof of the Uniformity Conjecture, arXiv: 1108.0821

  • Alexandru Dimca & Gabriel Sticlaru, Chebyshev curves, free resolutions and rational curve arrangements, arXiv: 1108.0798

  • Michel Granger, David Mond & Mathias Schulze, Partial normalizations of Coxeter arrangements and discriminants, arXiv: 1108.0718

  • Claus Hertling, \(\mu\)-constant monodromy groups and marked singularities, to appear in Annales de l'Institut Fourier, arXiv: 1108.0546

  • Claude Sabbah, Non-commutative Hodge structures, arXiv: 1107.5890

  • Alexandru Dimca, Monodromy of triple point line arrangements, arXiv: 1107.2214

  • Yves André, Solution algebras of differential equations and quasi-homogeneous varieties, arXiv: 1107.1179

  • Philip Boalch, Simply-laced isomonodromy systems, arXiv: 1107.0874

  • Jiezhu Lin & Claude Sabbah, Flat meromorphic connections of Frobenius manifolds with tt*-structure, arXiv: 1105.1542

  • Francesco Baldassarri, Finiteness of de Rham cohomology for dagger curves and Hurwitz formula (Revealing hidden ramification), preprint.

  • Christian Sevenheck, Duality of Gauss-Manin systems associated to linear free divisors, arXiv: 1103.0906

  • Daniel Barlet, Construction of holomorphic parameters invariant by change of variable in the Gauss-Manin connection of an holomorphic map to a disc, arXiv: 1101.3962

  • Daniel Barlet, Asymptotics of a vanishing period: the quotient themes of a given fresco, arXiv: 1101.3959

  • Alexandru Dimca, Richard Hain & Stefan Papadima, The abelianization of the Johnson kernel, arXiv: 1101.1392

    • 2010

  • Claude Sabbah, On a twisted de Rham complex, II, arXiv: 1012.3818

  • Frank Loray, Masa-Hiko Saito & Carlos T. Simpson, Foliations on the moduli space of rank two connections on the projective line minus four points, arXiv: 1012.3612

  • Damien Mégy, Hyperplane sections with simple singularities and examples of variations of Hodge structure, to appear in Math. Annalen, arXiv: 1012.2481

  • Alexandru Dimca, Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements, arXiv: 1012.1437

  • Daniel Barlet & Teresa Monteiro Fernandes, Grauert's theorem for subanalytic open sets in real analytic manifolds, to appear in Studia Math., arXiv: 1011.4208

  • Carlos T. Simpson, Local systems on proper algebraic V-manifolds, to appear in Pure and Applied Math. Quarterly (volume in honor of Eckart Viehweg), arXiv: 1010.3363

  • Thomas Reichelt & Christian Sevenheck, Logarithmic Frobenius manifolds, hypergeometric systems and quantum D-modules, arXiv: 1010.2118

  • Claus Hertling & Ralf Kurbel, On the classification of quasihomogeneous singularities, arXiv: 1009.0763

  • Yves André, On nef and semistable hermitian lattices, and their behaviour under tensor product, arXiv: 1008.1553

  • V.P. Kostov, Additive Deligne-Simpson problem for non-Fuchsian systems, Funkcialaj Ekvacioj 53 (2010), p. 395-410.

  • Damien Mégy, Hyperplane sections with simple singularities and examples of variations of Hodge structure, PhD Thesis, University of Grenoble (May 2010)

  • Alexandru Dimca & Gus Lehrer, Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements, arXiv: 1006.3462

  • Claude Sabbah, Une remarque sur l'article «Un théorème à la "Thom-Sebastiani" pour les intégrales-fibres» de D. Barlet, arXiv: 1003.5589

  • Daniel Barlet, Changement de variables pour un thème, arXiv: 1003.5070

  • Valentina Di Proietto, On \(p\)-adic differential equations on semistable varieties, arXiv: 1003.3994

  • Daisuke Yamakawa, Quiver varieties with multiplicities, Weyl groups of non-symmetric Kac-Moody algebras, and Painlevé equations, SIGMA 6 (2010), 087, 43 pages, arXiv: 1003.3633

  • Philip Boalch, Riemann-Hilbert for tame complex parahoric connections, Transform. groups 16 (2011), no. 1, p. 27-50, arXiv: 1003.3177

  • Alexandru Dimca & Stefan Papadima, Arithmetic group symmetry and finiteness properties of Torelli groups, arXiv: 1002.0673

    • 2009

  • Claude Sabbah, Introduction to Stokes structures, Expanded Lecture notes of lectures given in Lisboa, jan. 2009, arXiv: 0912.2762

  • Claus Hertling & Claude Sabbah, Examples of non-commutative Hodge structures, Journal de l'institut mathématique de Jussieu (JIMJ) 10 (2011), no. 3, p. 635-674, arXiv: 0912.2754

  • Michel Granger, David Mond & Mathias Schulze, Free divisors in prehomogeneous vector spaces, arXiv: 0912.0626

  • Daniel Barlet, Le thème d'une période évanescente, arXiv: 0912.0135

  • Daisuke Yamakawa, Middle Convolution and Harnad Duality, Math. Annalen (2010), arXiv: 0911.3863

  • Antoine Douai & Étienne Mann, The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits, arXiv: 0909.4063

  • Alexandru Dimca & Stefan Papadima, Finite Galois covers, cohomology jump loci, formality properties, and multinets, Annali Scuola Norm. Sup. Pisa (to appear), arXiv: 0906.1040

  • Claus Hertling, Luuk Hoevenaars & Hessel Posthuma, Frobenius manifolds, projective special geometry and Hitchin systems, J. reine angew. Math. (Crelle) 649 (2010), p. 117-165, arXiv: 0905.3304

  • Nero Budur, Alexandru Dimca & Morihiko Saito, First Milnor cohomology of hyperplane arrangements, Contemporary Mathematics 538 (2011), p. 279-292, arXiv: 0905.1284

  • Christian Sevenheck, Bernstein polynomials and spectral numbers for linear free divisors, Annales de l'Institut Fourier 61 (2011), no.1, p. 379-400, arXiv: 0905.0971

  • Alexandru Dimca & Balazs Szendroi, The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on \(\mathbb C^3\), Mathematical Research Letters 16 (2009), p. 1037-1055, arXiv: 0904.2419

  • Chadi Taher, Calculating the parabolic Chern character of a locally abelian parabolic bundle, arXiv: 0904.0927

  • Philippe Eyssidieux & Carlos T. Simpson, Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures, arXiv: 0902.2626

  • Alexandru Dimca, Stefan Papadima & Alexander I. Suciu, Topology and geometry of cohomology jump loci, Duke Math. J. 148 (2009), p. 405-457, arXiv: 0902.1250

    • Other recent preprints and articles

  • Daniel Barlet & H. M. Maire, Oblique poles of \(\displaystyle\int_X|f|^{2\lambda}|g|^{2\mu}\,{}_{^\square}\), Complex Analysis (Freiburg, 2008), Trends in Mathematics, Birkhaüser, Basel, 2010, p. 1-23, arXiv: 0901.3070

  • Daniel Barlet, Périodes évanescentes et (a,b)-modules monogènes, Bolletino U.M.I. (9) 2 (2009) n°3, p. 651-697, arXiv: 0901.1953

  • Philip Boalch, Through the analytic halo: Fission via irregular singularities, Annales de l'Institut Fourier 59 (2009), n°7, p. 2669-2684, pdf

  • Yves André, Slope filtrations, Confluentes Matematici 1 (2009), n°1, p. 1-85, arXiv: 0812.3921

  • Carlos T. Simpson, Iterated destabilizing modifications for vector bundles with connection, in Vector bundles and complex geometry, Contemp. Math., vol. 522, Amer. Math. Soc., Providence, RI, 2010, p. 183-206, arXiv: 0812.3472

  • Antoine Douai, Examples of limits of Frobenius (type) structures: the singularity case, arXiv: 0806.2011 (version of nov. 2008)

  • Alexandru Dimca & Morihiko Saito, Vanishing cycle sheaves of one-parameter smoothings, J. Algebraic Geometry, online 2011, arXiv: 0810.4896

  • Alexandru Dimca, Stefan Papadima & Alexander I. Suciu, Quasi-Kähler groups, 3-manifold groups, and formality, Math. Z. 268 (2011), no. 1-2, p 169-186, arXiv: 0810.2158

  • Daniel Barlet, Thom-Sebastiani pour les intégrales-fibres, Annales de l'institut Fourier 60 (2010) n° 1, p. 319-353, arXiv: 0809.4981

  • Francesco Baldassarri, Continuity of the radius of convergence of differential equations on \(p\)-adic analytic curves, Invent. Math. 182 (2010), no. 3, p. 513-584, arXiv: 0809.2479

  • Claus Hertling & Christian Sevenheck, Limits of families of Brieskorn lattices and compactified classifying spaces, Adv. Math. 223 (2010), p. 1155-1224, arXiv: 0805.4777

  • Michel Granger & Mathias Schulze On the symmetry of b-functions of linear free divisors, Publ. RIMS, Kyoto Univ. 46 (2010), no. 3, p. 479-506, arXiv: 0807.0560

  • Alexandru Dimca, Characteristic varieties and logarithmic differential 1-forms, Compositio Math. 146 (2010) n°1, p. 129-144, arXiv: 0805.4377

  • Claude Sabbah, Fourier-Laplace transform of a variation of polarized complex Hodge structure, II, New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry (Kyoto 2008), Advanced Studies in Pure Math., vol. 59, 2010, p. 289-347, arXiv: 0804.4328

  • Thomas Reichelt, A construction of Frobenius manifolds with logarithmic poles and applications, Comm. Math. Phys. 287 (2009), n°3, p. 1145-1187

  • Claude Sabbah, Wild twistor D-modules, in Algebraic Analysis and Around, Advanced Studies in Pure Math., vol. 54, Math. Soc. Japan, Tokyo, 2009, p. 293-353, arXiv: 0803.0287

  • Ignacio de Gregorio, David Mond & Christian Sevenheck, Linear free divisors and Frobenius manifolds, Compositio Math. 145 (2009), n°5, p. 1305-1350, arXiv: 0802.4188

  • Antoine Douai, A canonical Frobenius structure, Math. Z., 261 (2009), n°3, p. 625-648, arXiv: 0709.0186

  • Daniel Barlet, Sur les fonctions à singularité de dimension 1, Bull. Soc. Math. France 137 (2009), n°4 p. 587-612, arXiv: 0709.0459

  • Alexandru Dimca, On admissible rank one local systems, J. Algebra 321 (2009), p. 3145-3157

  • Alexandru Dimca, Stefan Papadima & Alexander I. Suciu, Non finiteness properties of fundamental groups of smooth projective varieties, J. reine angew. Math. 629 (2009), p. 89-105