Chern classes of fibered products of surfaces.
Commutativity of the Schur algebra.
Correspondence between representations of the dual reductive pair and .
Factorization of a Birational Morphism Between 4-Folds*.
The fundamental group for the complement of Cayley's singularities.
The fundamental group of a Galois cover of .
Finite fundamental groups, free over Z / cZ, for Galois covers of CP2.
Fundamental groups of some special quadric arrangements.
Continuing our work on the fundamental groups of conic-line arrangements (Amram et al., 2003), we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P. The first arrangement is a union of n conics, which are tangent to each other at two common points. The second arrangement is composed of n quadrics which are tangent to each other at one common point. The third arrangement is composed of n quadrics, n-1 of them are tangent to the n-th one and...
Erratum to “Fundamental groups of some special quadric arrangements”.
On ramified covers of the projective plane II: Generalizing Segre’s theory
The classical Segre theory gives a necessary and sufficient condition for a plane curve to be a branch curve of a (generic) projection of a smooth surface in . We generalize this result for smooth surfaces in a projective space of any dimension in the following way: given two plane curves, and , we give a necessary and sufficient condition for to be the branch curve of a surface in and to be the image of the double curve of a -model of . In the classical Segre theory, a plane curve...
Recovering an algebraic curve using its projections from different points. Applications to static and dynamic computational vision
We study some geometric configurations related to projections of an irreducible algebraic curve embedded in onto embedded projective planes. These configurations are motivated by applications to static and dynamic computational vision. More precisely, we study how an irreducible closed algebraic curve embedded in , of degree and genus , can be recovered using its projections from points onto embedded projective planes. The embeddings are unknown. The only input is the defining equation of...
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