Documents  14M07 | enregistrements trouvés : 6

Algebraic and Complex Geometry

An entire curve on a complex variety is a holomorphic map from the complex numbers to the variety. We discuss two well-known conjectures on entire curves on very general high-degree hypersurfaces $X$ in $\mathbb{P}^n$: the Green-Griffiths-Lang Conjecture, which says that the entire curves lie in a proper subvariety of $X$, and the Kobayashi Conjecture, which says that X contains no entire curves.
We prove that (a slightly strengthened version of) the Green-Griffiths-Lang Conjecture in dimension $2n$ implies the Kobayashi Conjecture in dimension $n$. The technique has already led to improved bounds for the Kobayashi Conjecture. This is joint work with David Yang. An entire curve on a complex variety is a holomorphic map from the complex numbers to the variety. We discuss two well-known conjectures on entire curves on very general high-degree hypersurfaces $X$ in $\mathbb{P}^n$: the Green-Griffiths-Lang Conjecture, which says that the entire curves lie in a proper subvariety of $X$, and the Kobayashi Conjecture, which says that X contains no entire curves.
We prove that (a slightly strengthened version ...

32Q45 ; 14M10 ; 14J70 ; 14M07

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- 213 p.
ISBN 978-0-8176-4027-9

Progress in mathematics , 0165

Localisation : Collection 1er étage

algèbre et anneau commutatif # condition d'anneau # entrelacement # géométrie algébrique # idéal déterminant # intersection # intersection complète # module graduée # méthode cohomologique # problème de co-dimension inférieure # syzygies # théorie de liaison # variété déterminante # variété spéciale

13C40 ; 14F05 ; 14M05 ; 14M07 ; 16M06

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- 91 p.

Bonner mathematische schriften , 0260

Localisation : Publication 1er étage

projection # surface de Veronese # variété de Severi

14J10 ; 14M07 ; 14N10

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ISBN 978-0-8218-0234-2

Memoirs of the american mathematical society , 0554

Localisation : Collection 1er étage

gémétrie algébrique # invariant pour triple # n-uple # réduction seconde # théorie de l'adjonction

14C30 ; 14J30 ; 14M07

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ISBN 978-3-7643-1660-0

DMV seminar , 0004

Localisation : Séminaire 1er étage

14M07 ; 51M35

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