Multiplier ideal sheaves in complex and algebraic geometry
نویسندگان
چکیده
منابع مشابه
Multiplier Ideal Sheaves, Nevanlinna Theory, and Diophantine Approximation
This note states a conjecture for Nevanlinna theory or diophantine approximation, with a sheaf of ideals in place of the normal crossings divisor. This is done by using a correction term involving a multiplier ideal sheaf. This new conjecture trivially implies earlier conjectures in Nevanlinna theory or diophantine approximation, and in fact is equivalent to these conjectures. Although it does ...
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Abstract. Let φ be a psh function on a bounded pseudoconvex open set Ω ⊂ C, and let I(φ) be the associated multiplier ideal sheaf. Motivated by resolution of singularities issues, we establish an effective version of the coherence property of I(mφ) as m → +∞. Namely, we estimate the order of growth in m of the number of generators needed to engender I(mφ) on a fixed compact subset, as well as t...
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We will construct a Quillen model structure out of the multiplier ideal sheaves on a smooth quasi-projective variety using earlier works of Isaksen and Barnea and Schlank. We also show that fibrant objects of this model category are made of kawamata log terminal pairs in birational geometry.
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The theme of these four lectures is roughly "the history of, and some recent developments in, the study of algebraic geometry by analytic methods". Since this topic is much too broad I have chosen to isolate one particular analytic tool, the local notion of residue and subsequent global residue theorem, and will attempt to illustrate some ways in which residues may be used in both classical and...
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Introduction. Multiplier ideal sheaves were introduced by Kohn [Kohn1979] and Nadel [Nadel1990] to identify the location and the extent of the failure of crucial estimates. Such multiplier ideal sheaves are defined by a family or a sequence of inequalities instead of a single inequality. In Kohn’s definition there is one inequality for every test function (or test form) and the multiplier has t...
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ژورنال
عنوان ژورنال: Science in China Series A: Mathematics
سال: 2005
ISSN: 1006-9283,1862-2763
DOI: 10.1007/bf02884693