Publications of Mark Andrea de Cataldo

You can view some of my papers on the AG ArXiv which is part of the Mathematics ArXiv.

Preprints
Journal Publications
Theses and dissertations
Miscellanea


Preprints

  M.A. de Cataldo, L. Migliorini: Hodge-theoretic aspects of the Decomposition Theorem
            Submitted. 
  M.A. de Cataldo, L. Migliorini: A remark on singularities of primitive cohomology classes
            Submitted. 
  M.A. de Cataldo, L. Migliorini: The Decomposition Theorem and the topology of algebraic maps
            Survey. Submitted. 
  M.A. de Cataldo, L. Migliorini: The perverse filtration and the Lefschetz Hyperplane Theorem
            In preparation. 
  M.A. de Cataldo: The perverse filtration and the Lefschetz Hyperplane Theorem, II
            In preparation. 

Journal publications

  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. 
  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 
  M.A. de Cataldo, L. Migliorini: The Chow motive of semismall resolutions
            Math. Res. Letters, 11, 2004, n.2-3, 151-170. 
  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. 
  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.
  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.
  M.A. de Cataldo, L. Migliorini: The Douady space of a complex surface
           Adv. in Math. 151 (2000), 283-312.
  M.A. de Cataldo: Hilbert schemes of surfaces and Euler Characteristics
           Arch. Math 75 (2000) 59-64.
  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.
  M.A. de Cataldo: Effective non-vanishing, effective global generation
           Ann. Inst. Fourier, Grenoble 48, 5 (1998), 1359--1378.
  M.A. de Cataldo: Singular hermitian metrics on vector bundles
           J. Reine Angew. Math. 502 (1998), 93-122.
  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.
  M.A. de Cataldo: Some adjunction-theoretic properties of codimension two nonsingular subvarieties of quadrics
           Can. Journ. of Math 49, 4 (1997), 675-695.
  M.A. de Cataldo: A finiteness theorem for codimension two nonsingular subvarieties of quadrics
           Trans. Amer.Math. Soc. 349 (1997), 2359-2370.
  M.A. de Cataldo: The genus of curves on the three dimensional quadric
           Nagoya Math. Journ., 147 (1997), 193-211.
  M.A. de Cataldo, M. Palleschi: Projective threefolds with a hyperplane section of general type
           Geometriae Dedicata 61 (1996), 169-179.
  M.A. de Cataldo, M. Palleschi: Polarized surfaces of positive Kodaira dimension with canonical bundle of small degree
           Forum Math. 4 (1992), 217-229.
  M.A. de Cataldo: Fibrazioni ellittiche e fibrati olomorfi
           Riv. Mat. Univ. Parma, 4, 15, (1989), 265-269.


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.



Miscellanea

  M.A. de Cataldo: Lectures on the Hodge theory of projective manifolds
            in ``Hodge Theory and its applications," Proceedings of the Algebraic Geometry Summer School, ByeonSan, June 2003, Ed. J. Keum and B. Jun . 
  M.A. de Cataldo: Projective Varieties, Linear Systems and Vector Bundles
            Lecture notes of courses given by L. Ein, P. Ellia and F. Zak. Lecture 2 (with M. Bertolini) and Lecture 4. Istituto Nazionale di Alta Matematica ``F. Severi," Aracne Ed., Rome, 1994.