Théorie de Hodge. II. (Hodge theory. II)

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DOI10.1007/BF02684692zbMath0219.14007OpenAlexW4237364295MaRDI QIDQ2546920

Pierre Deligne

Publication date: 1971

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1971__40__5_0

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

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Evanouissement des hypercohomologies et exemples, Leray Spectral Sequence for Complements of Certain Arrangements of Smooth Submanifolds, Homological mirror symmetry for log Calabi-Yau surfaces, Motivic sheaves revisited, Synthetic spectra and the cellular motivic category, Fourier-Laplace transform of a variation of polarized complex Hodge structure, MIXED HODGE STRUCTURES OF THE MODULI SPACES OF PARABOLIC CONNECTIONS, On the $p$ adic nearby cycles of log smooth families, Unnamed Item, Higher Abel-Jacobi maps for 0-cycles, On the structure of certain types of polarized varieties, The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups), Unnamed Item, On higher regulators of Siegel threefolds II: the connection to the special value, Unnamed Item, A classification of equivariant gerbe connections, FUJITA DECOMPOSITION AND HODGE LOCI, Extensions of Formal Hodge Structures, Computing Milnor fiber monodromy for some projective hypersurfaces, Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub), ON THE NUMBER OF DEFINING RELATIONS FOR NONFIBERED KÄHLER GROUPS, Characteristic varieties and logarithmic differential 1-forms, HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES, A note on isolated singularity, II, Equivariant Characteristic Classes of Singular Complex Algebraic Varieties, A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system, Théorie de Hodge des cycles évanescents, Fibrés vectoriels de rang 1 d'ordre fini, GLOBAL ASPECTS OF ABELIAN AND CENTER PROJECTIONS IN SU(2) GAUGE THEORY, Deligne–Beilinson cohomology and Abelian link invariants: Torsion case, Unnamed Item, Variétés de Prym et jacobiennes intermédiaires, Unnamed Item, A Feynman integral via higher normal functions, Brown's dihedral moduli space and freedom of the gravity operad, Unnamed Item, Abelian BF theory and Turaev-Viro invariant, HODGE STRUCTURES OF THE MODULI SPACES OF PAIRS, REFINED MOTIVIC DIMENSION OF SOME FERMAT VARIETIES, TORELLI THEOREM FOR MODULI SPACES OF SL(r,ℂ)-CONNECTIONS ON A COMPACT RIEMANN SURFACE, The Hodge theory of algebraic maps, On the Structure of Codimension 1 Foliations with Pseudoeffective Conormal Bundle, Unnamed Item, Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general), Towards non–abelian 𝑝–adic Hodge theory in the good reduction case, Tautological rings of spaces of pointed genus two curves of compact type, Mixed Hodge structures and equivariant sheaves on the projective plane, The strong Suslin reciprocity law, Unnamed Item, Unnamed Item, Algebraic cycles and infinitesimal invariants on Jacobian varieties, On moduli spaces of Hitchin pairs, On ‘maximal’ poles of zeta functions, roots ofb-functions, and monodromy Jordan blocks, EQUATIONS FOR $\overline M_{0,n}$, On a generalization of Hilbert's 21st problem, Perverse curves and mirror symmetry, On the slope of hyperelliptic fibrations with positive relative irregularity, Unnamed Item, Complexe de de Rham filtré d'une variété singulière, Some unlikely intersections beyond André–Oort, On the universal coverings of algebraic surfaces, Surfaces de type général dominées par une variété fixe, Variation of mixed Hodge structures arising from family of logarithmic deformations, GENERIC VANISHING THEORY VIA MIXED HODGE MODULES, Logarithmic foliations on compact algebraic surfaces, Hodge realizations of 1-motives and the derived Albanese, An elementary differential extension of odd K-theory, E-polynomial of SL₂(ℂ)-character varieties of free groups, Non-abelian cohomology jump loci from an analytic viewpoint, An injectivity theorem, Examples of surfaces with real multiplication, KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP, Geometric Hodge filtered complex cobordism, Hypersurface arrangements of aCM type, Torus fibers and the weight filtration, Deligne-Beilinson cohomology and log Hodge theory, An introduction to the algebraic geometry of the Putman-Wieland conjecture, The eleventh cohomology group of, Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration, On the top-weight rational cohomology of \(\mathcal{A}_g\), Hodge theory, between algebraicity and transcendence, Remarks on eigenspectra of isolated singularities, The Ax-Schanuel conjecture for variations of mixed Hodge structures, On V-filtration, Hodge filtration and Fourier transform, Regulator maps for higher Chow groups via current transforms, Essence of independence: Hodge theory of matroids since June Huh, Cohomology of semisimple local systems and the decomposition theorem, Specialization of Néron-Severi groups in positive characteristic, On the motivic class of the moduli stack of twisted \(G\)-covers, Heights via \(p\)-adic points, Explicit families of \(K3\) surfaces having real multiplication, On the Goncharov depth conjecture and a formula for volumes of orthoschemes, Higher Ramanujan Equations and Periods of Abelian Varieties, On character varieties of singular manifolds, Some Betti numbers of the moduli of 1-dimensional sheaves on \(\mathbb{P}^2\), On the distribution of the Hodge locus, E-Polynomials of Generic -Character Varieties: Branched Case, Arithmetic and metric aspects of open de Rham spaces, Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields, Tropical methods in geometry. Abstracts from the workshop held May 14--19, 2023, Counting integral points of bounded height on varieties with large fundamental group, Classifying sections of del Pezzo fibrations. I, On the component group of the algebraic monodromy group of a \(K3\) surface, On Hodge polynomials of singular character varieties, Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces, Fixed points, local monodromy, and incompressibility of congruence covers

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