مشخصات کتاب

Singularités franco-japonaises

دسته بندی: جبر
ویرایش: 1 
نویسندگان: Jean-Paul Brasselet. Tatsuo Suwa  
سری: Séminaires et Congrès, 10 
ISBN (شابک) : 285629166X, 9782856291665 
ناشر: Société Mathématique de France 
سال نشر: 2005 
تعداد صفحات: 492 
زبان: English 
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) 
حجم فایل: 7 مگابایت 

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Résumé : Le second colloque franco-japonais de Singularités s'est tenu au CIRM (Marseille-Luminy) du 9 au 13 Septembre 2002. Les actes des conférences reproduites dans ce volume traduisent la diversité mais aussi la cohérence des sujets abordés. Les conférences ont eu comme thèmes principaux les classes caractéristiques, les résidus, les stratifications, les singularités de courbes et de surfaces, les valuations, la résolution des singularités, les variétés toriques. Plusieurs articles présentent les résultats récents obtenus dans le domaine, de façon à être accessibles aux non-spécialistes et aux utilisateurs de la théorie des singularités. Mots clefs : Singularité, singularité de surface, singularité normale de surface, normalisation, singularité de Kodaira, singularité ordinaire, singularité d'hypersurface, nombre de Milnor, fibre de Milnor, spectre, intersection complète, courbe plane, entrelacs, arrangement de droites, polynôme d'Alexander, points singuliers infiniment proches, exposants caractéristiques, clôture intégrale, idéal complet, discriminant, valuation, extension, résidu, résidu local de Grothendieck, formule de Riemann-Roch, classe de Chern, nombre de Chern, forme de Chern, limite adiabatique, classe de Schwartz-MacPherson, classe de Fulton-Johnson, champ de vecteur radial, théorie bivariante, fonction constructible, cohomologie d'intersection, variété de Schubert, système de racines, surface complexe, surface elliptique, genre d'un pinceau, variété torique, variété de dimension 3, groupe fondamental, revêtement galoisien, groupe de Picard, théorie de Hodge, groupe de Néron-Severi, stratification, stratification de Lipschitz, surface algébrique réelle, polynôme hyperbolique, ensemble semi-analytique, ensemble sous-analytique, ensemble arc-analytique, ensemble blow-analytique, remplissage symplectique, courbe pseudo-holomorphe, $\mathcal D$-module holonome Abstract: Franco-Japanese Singularities The second Franco-Japanese Singularity Conference was held in the CIRM (Marseille-Luminy) from the 9th to the 13th of September 2002. The proceedings of the meeting published in this volume show the diversity, but also the consistency of the fields discussed. The main topics covered by the lectures were characteristic classes, residues, stratifications, singularities of curves and surfaces, valuations, resolution of singularities, and toric varieties. Several papers present the results recently obtained in the field so as to be accessible to non-specialists and to users of singularity theory. Key words: Singularity, surface singularity, normal surface singularity, normalization, Kodaira singularity, ordinary singularity, hypersurface singularity, Milnor number, Milnor fiber, spectrum, complete intersection, plane curve, link, line arrangement, Alexander polynomial, infinitely near singular points, characteristic exponents, integral closure, complete ideal, discriminant, valuation, extension, residue, Grothendieck local residue, Riemann-Roch formula, Chern class, Chern number, Chern form, adiabatic limit, Schwartz-MacPherson class, Fulton-Johnson class, radial vector field, bivariant theory, constructible function, intersection cohomology, Schubert variety, root system, complex surface, elliptic surface, pencil genus, toric variety, threefold, fundamental group, Galois cover, Picard group, Hodge theory, Néron-Severi group, stratification, Lipschitz stratification, real algebraic surfaces, hyperbolic polynomial, subanalytic, semi-analytic sets, arc-analytic, blow-analytic, symplectic filling, pseudo-holomorphic curve, holonomic $\mathcal D$-module Class. math. : 12D10, 13A18, 14B05, 14C05, 14C17, 14 C22, 14D05, 14E15, 14E20, 14G17, 14H30, 14J17, 32A27, 32B20, 32S05, 32S10, 32S15, 32S25, 32S45, 32S60, 53D35, 58K05 Table of Contents * F. Aroca and J. Snoussi -- Normal quasi-ordinary singularities * R. Bondil -- General elements of an m-primary ideal on a normal surface singularity * J.-P. Brasselet, J. Seade, and T. Suwa -- An explicit cycle representing the Fulton-Johnson class, I * T. Brélivet -- Sur les paires spectrales de polynômes à deux variables * D. Garber -- On the connection between affine and projective fundamental groups of line arrangements and curves * H. A. Hamm and D. T. Lê -- On the Picard group for non-complete algebraic varieties * H. Hironaka -- Three key theorems on infinitely near singularities * D. Juniati and D. Trotman -- Determination of Lipschitz stratifications for the surfaces ya=zbxc+xd * V. P. Kostov -- On arrangements of the roots of a hyperbolic polynomial and of one of its derivatives * K. Kurdyka and L. Paunescu -- Arc-analyticity is an open property * I. Luengo and A. Pichon -- Lê's conjecture for cyclic covers * Y. Nakamura and S. Tajima -- Unimodal singularities and differential operators * M. Oka -- A survey on Alexander polynomials of plane curves * H. Ohta and K. Ono -- Symplectic 1-manifolds containing singular rational curves with (2,3)-cusp * A. Parusiński -- Integrability of some functions on semi-analytic sets * P. Polo -- Construction d'hypersurfaces affines à cohomologie d'intersection prescrite * T. Suwa -- Residues of Chern classes on singular varieties * S. Tajima and Y. Nakamura -- Computational aspects of Grothendieck local residues * H. Tokunaga -- 2-dimensional versal S4-covers and rational elliptic surfaces * T. Tomaru -- On some classes of weakly Kodaira singularities * M. Tosun -- ADE surface singularities, chambers and toric varieties * S. Tsuboi -- The Chern numbers of the normalization of an algebraic threefold with ordinary singularities * N. C. Tu -- On semi-stable, singular cubic surfaces * M. Vaquié -- Famille admise associée à une valuation de K\[x\] * S. Yokura -- Generalized Ginzburg-Chern classes * A. Y. Yoshikawa and K. Yoshikawa -- Isolated critical points and adiabatic limits of Chern forms

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