Logarithmic Vector Fields and Hyperbolicity
نویسندگان
چکیده
منابع مشابه
Logarithmic vector fields and hyperbolicity
Using vector fields on logarithmic jet spaces we obtain some new positive results for the logarithmic Kobayashi conjecture about the hyperbolicity of complements of curves in the complex projective plane. We are interested here in the cases where logarithmic irregularity is strictly smaller than the dimension. In this setting, we study the case of a very generic curve with two components of deg...
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We prove that the complement of a very generic curve of degree d at least equal to 15 in P is hyperbolic in the sens of Kobayashi (here, the terminology “very generic” refers to complements of countable unions of proper algebraic subsets of the parameter space). We first consider the Dethloff and Lu’s generalisation to the logarithmic situation of Demailly’s jet bundles. We study their base loc...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2009
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000009685