M.A. de Cataldo:
The perverse filtration and the Lefschetz Hyperplane Theorem, II
In preparation.
Books
M.A. de Cataldo:
Lectures on the Hodge theory of projective manifolds
Imperial College Press, London, 2007.
Journal publications
M.A. de Cataldo, L. Migliorini:
The Decomposition Theorem and the topology of algebraic maps
Bullettin of the A.M.S.,
Vol. 46, n.4, (2009), 535-633.
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M.A. de Cataldo, L. Migliorini:
The perverse filtration and the Lefschetz Hyperplane Theorem
To appear in Annals of mathematics.
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M.A. de Cataldo:
The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem
Contemporary Mathematics, 496 (2009), Interactions of Classical and Numerical Algebraic Geometry, Bates et al. Eds., 199-220.
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M.A. de Cataldo, L. Migliorini:
A remark on singularities of primitive cohomology classes
To appear in P.A.M.S.
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M.A. de Cataldo, L. Migliorini:
Hodge-theoretic aspects of the Decomposition Theorem
To appear in the Proceedings of the Algebraic Geometry A.M.S. Conference,
Seattle, 2005.
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M.A. de Cataldo, L. Migliorini:
Intersection forms, topology of algebraic maps and motivic
decompositions for resolutions of threefolds
in Algebraic cycles and Motives, London Mat.Soc., Lecture Notes Series, n.343,
vol.1, pp.102-137, Cambridge University Press, Cambridge, UK, 2007.
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M.A. de Cataldo, L. Migliorini:
The Hodge theory of algebraic maps
Ann. Scient. Ec. Norm. Sup., 4e serie, t.38, 2005, p. 693-750
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M.A. de Cataldo, L. Migliorini:
The Chow motive of semismall resolutions
Math. Res. Letters, 11, 2004, n.2-3, 151-170.
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M.A. de Cataldo, L. Migliorini:
The Gysin map is compatible with mixed Hodge structures
Centre des Recherches Mathematiques, CRM Proceedings and Lecture Series, vol 38, 2004.
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M.A. de Cataldo, L. Migliorini:
The Hard
Lefschetz Theorem and the topology of semismall maps
Ann.Scient.Ec.Norm.Sup., 4e serie, t.35. 2002, 759-772. |
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M.A. de Cataldo, L. Migliorini:
The
Chow groups and the motive of the Hilbert scheme
of points on a surface
Journal of algebra 251 (2002), 824-848. |
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M.A. de Cataldo, L. Migliorini:
The Douady space of a complex surface
Adv. in Math. 151 (2000), 283-312.
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M.A. de Cataldo:
Hilbert schemes of surfaces
and Euler Characteristics
Arch. Math 75 (2000) 59-64. |
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M.A. de Cataldo:
Vanishing via lifting to second Witt vectors and
a simple proof of an isotriviality result
Journal of Algebra 219
(1999),
255-265. |
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M.A. de Cataldo:
Effective non-vanishing, effective
global generation
Ann. Inst. Fourier, Grenoble 48, 5 (1998), 1359--1378. |
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M.A. de Cataldo:
Singular hermitian metrics on
vector bundles
J. Reine Angew. Math. 502 (1998), 93-122. |
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M.A. de Cataldo:
Codimension two nonsingular subvarieties
of quadrics :
scrolls and
classification in degree $d\leq 10$,
J. Math. Soc. Japan 50, no. 4 (1998),
879--902. |
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M.A. de Cataldo:
Some adjunction-theoretic properties of
codimension two nonsingular
subvarieties of quadrics
Can. Journ. of Math 49, 4 (1997),
675-695. |
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M.A. de Cataldo:
A finiteness theorem for codimension two
nonsingular
subvarieties of quadrics
Trans. Amer.Math. Soc.
349 (1997), 2359-2370. |
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M.A. de Cataldo:
The genus of curves on the three
dimensional quadric
Nagoya Math. Journ., 147 (1997), 193-211. |
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M.A. de Cataldo, M. Palleschi:
Projective threefolds with
a hyperplane section of general type
Geometriae Dedicata 61
(1996),
169-179. |
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M.A. de Cataldo, M. Palleschi:
Polarized surfaces of
positive Kodaira
dimension with canonical bundle of small degree
Forum Math. 4 (1992), 217-229. |
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M.A. de Cataldo: Fibrazioni ellittiche e fibrati olomorfi
Riv. Mat.
Univ. Parma, 4, 15, (1989), 265-269. |
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Theses and dissertations
M.A. de Cataldo: Superficie polarizzate (S,A) con
dimensione di Kodaira
Postiva e A K piccolo
Undergraduate Thesis, University of
Milano, 1989.
M.A. de Cataldo: Codimension two subvarieties of quadrics
Ph.D.
Thesis, Notre Dame 1995. |
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