87 citations · 288 across the 27 of their papers we have counts for
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math.AG2007
The Decomposition Theorem and the topology of algebraic maps
Mark Andrea de Cataldo, Luca Migliorini
We give a motivated introduction to the theory of perverse sheaves, culminating in the Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is t…
math.AG2007
A remark on singularities of primitive cohomology classes
Mark Andrea A. de Cataldo, Luca Migliorini
Green and Griffiths have introduced several notions of singularities associated with normal functions, especially in connection with middle dimensional primitive Hodge classes. In…
math.AG2007
Hodge-theoretic aspects of the Decomposition Theorem
Mark Andrea de Cataldo, Luca Migliorini
Given a projective morphism of compact, complex, algebraic varieties and a relatively ample line bundle on the domain we prove that a suitable choice, dictated by the line bundle,…