[PDF][PDF] Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials
JP Demailly - Proceedings of Symposia in Pure …, 1997 - www-fourier.ujf-grenoble.fr
These notes are an expanded version of lectures delivered at the AMS Summer School on
Algebraic Geometry, held at Santa Cruz in July 1995. The main goal of the notes is to study …
Algebraic Geometry, held at Santa Cruz in July 1995. The main goal of the notes is to study …
[BOOK][B] Nevanlinna theory and its relation to Diophantine approximation
M Ru - 2001 - World Scientific
The origin of Nevanlinna theory comes from the fundamental theorem of algebra which says
that every complex polynomial equation P (z)= 0 has d number of roots counting …
that every complex polynomial equation P (z)= 0 has d number of roots counting …
Testing sets for properness of polynomial map**s
Z Jelonek - Mathematische Annalen, 1999 - Springer
In this paper we characterize testing sets for properness of polynomial map**s
f:C^n→C^m. We also study the set of points at which such map**s are not proper. As the …
f:C^n→C^m. We also study the set of points at which such map**s are not proper. As the …
On the hyperbolicity of general hypersurfaces
D Brotbek - Publications mathématiques de l'IHÉS, 2017 - numdam.org
In 1970, Kobayashi conjectured that general hypersurfaces of sufficiently large degree in Pn
are hyperbolic. In this paper we prove that a general sufficiently ample hypersurface in a …
are hyperbolic. In this paper we prove that a general sufficiently ample hypersurface in a …
Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
YT Siu, SK Yeung - American journal of mathematics, 1997 - muse.jhu.edu
We prove that the defect vanishes for a holomorphic map f from the affine complex line to an
abelian variety A and for an ample divisor D in A. The proof uses the translational invariance …
abelian variety A and for an ample divisor D in A. The proof uses the translational invariance …
Complete intersection varieties with ample cotangent bundles
D Brotbek, L Darondeau - Inventiones mathematicae, 2018 - Springer
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Recent results on the Kobayashi and Green-Griffiths-Lang conjectures
JP Demailly - Japanese Journal of Mathematics, 2020 - Springer
The study of entire holomorphic curves contained in projective algebraic varieties is
intimately related to fascinating questions of geometry and number theory—especially …
intimately related to fascinating questions of geometry and number theory—especially …
ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS.
BQ Li - International Journal of Mathematics, 2004 - search.ebscohost.com
June 25, 2004 19:35 WSPC/133-IJM 00239 ON ENTIRE SOLUTIONS OF FERMAT TYPE
PARTIAL DIFFERENTIAL EQUATIONS 1. Introduction In this Page 1 June 25, 2004 19:35 …
PARTIAL DIFFERENTIAL EQUATIONS 1. Introduction In this Page 1 June 25, 2004 19:35 …
Rational points and zero-cycles on rationally connected varieties over number fields
O Wittenberg - arxiv preprint arxiv:1604.08543, 2016 - arxiv.org
We report on progress in the qualitative study of rational points on rationally connected
varieties over number fields, also examining integral points, zero-cycles, and non-rationally …
varieties over number fields, also examining integral points, zero-cycles, and non-rationally …
[PDF][PDF] Hyperbolic algebraic varieties and holomorphic differential equations
JP Demailly - Acta Math. Vietnam, 2012 - www-fourier.ujf-grenoble.fr
approximation” method, which was soon recognized to be an important tool in the study of
holomorphic foliations, in parallel with Nevanlinna theory and the construction of Ahlfors …
holomorphic foliations, in parallel with Nevanlinna theory and the construction of Ahlfors …