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Algebraic subellipticity and dominability of blow-ups of affine spaces

التفاصيل البيبلوغرافية
العنوان: Algebraic subellipticity and dominability of blow-ups of affine spaces
المؤلفون: Lárusson, F., Truong, T.
بيانات النشر: Universität Bielefeld
سنة النشر: 2017
المجموعة: The University of Adelaide: Digital Library
مصطلحات موضوعية: Blow-up, affine space, subelliptic, spray, dominable, strongly dominable, Oka manifold
الوصف: Little is known about the behaviour of the Oka property of a complex manifold with respect to blowing up a submanifold. A manifold is of Class A if it is the complement of an algebraic subvariety of codimension at least 2 in an algebraic manifold that is Zariski-locally isomorphic to C-n. A manifold of Class A is algebraically subelliptic and hence Oka, and a manifold of Class A blown up at finitely many points is of Class A. Our main result is that a manifold of Class A blown up along an arbitrary algebraic submanifold (not necessarily connected) is algebraically subelliptic. For algebraic manifolds in general, we prove that strong algebraic dominability, a weakening of algebraic subellipticity, is preserved by an arbitrary blow-up with a smooth centre. We use the main result to confirm a prediction of Forster's famous conjecture that every open Riemann surface may be properly holomorphically embedded into C-2. ; Finnur Larusson, Tuyen Trung Truong
نوع الوثيقة: article in journal/newspaper
اللغة: English
تدمد: 1431-0635
1431-0643
Relation: http://purl.org/au-research/grants/arc/DP120104110; http://purl.org/au-research/grants/arc/DP150103442; Documenta Mathematica, 2017; 22(2017):151-163; http://hdl.handle.net/2440/111156
الاتاحة: http://hdl.handle.net/2440/111156
رقم الانضمام: edsbas.7D4363F2
قاعدة البيانات: BASE
الوصف
تدمد:14310635
14310643