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A note on Griffiths infinitesimal invariant for curves
Griffiths infinitesimal invariant curves Algebraic Geometry
2011/9/22
Abstract: Given a generic curve of genus $g\geqslant4$ and a smooth point $L\in W_{g-1}^{1}(C)$, whose linear system is base-point free, we consider the Abel-Jacobi normal function associated to $L^{\...
Thom polynomials and the Green-Griffiths conjecture
Thom polynomials the Green-Griffiths conjecture
2010/11/24
In the first part of this paper we apply equivariant localization techniques to prove the Green-Griffiths conjecture for a generic projective hypersurface of dimension n and degree >2^{8nlogn}. In th...
Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture
Holomorphic Morse inequalities the Green-Griffiths-Lang conjecture
2010/11/22
The goal of this work is to study the existence and properties of non constant entire curves f drawn in a complex irreducible n-dimensional variety X, and more specifically to show that they must sati...