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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2003 · math.AGShow all

9 papers · 2 filters

math.AG2003★ 4 cited

On the ideals of secant varieties of Segre varieties

J. M. Landsberg, Laurent Manivel

We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal…

math.AG2003★ 2 cited

Hyperbolic surfaces in : examples

Mikhail Zaidenberg

This is a recent conference report on the Kobayashi Problem on hyperbolicity of generic projective hypersurfaces. As an appendix, a (non-updated) author's survey article of 1992 on…

math.AG2003★ 1 cited

New examples of hyperbolic octic surfaces in $\PP^3$

Bernard Shiffman, Mikhail Zaidenberg

We show that a general small deformation of the union of two general cones in P3 of degree >= 4 is Kobayashi hyperbolic. Hence we obtain new examples of hyperbolic surfaces in P3 o…

math.AG2003

-coherent sheaves over complex manifolds

Nefon Pali

This is a large audience version of our previous work (see math.AG/0301146) in which we prove the existence of an (exact) equivalence between the category of coherent analytic shea…

math.AG2003

Hochschild Cohomology for Complex Spaces and Noetherian Schemes

Frank Schuhmacher

The classical HKR-theorem gives an isomorphism of the n-th Hochschild cohomology of a smooth algebra and the n-th exterior power of its module of Kähler differentials. Here we gene…

math.AG2003★ 29 cited

Green-Lazarsfeld's Conjecture for Generic Curves of Large Gonality

Marian Aprodu, Claire Voisin

We use Green's canonical syzygy conjecture for generic curves to prove that the Green-Lazarsfeld gonality conjecture holds for generic curves of genus g, and gonality d, if $g/3<d<…