Schmidt's subspace theorem for moving hypersurface targets

التفاصيل البيبلوغرافية
العنوان: Schmidt's subspace theorem for moving hypersurface targets
المؤلفون: Son, Nguyen Thanh, Van Tan, Tran, Van Thin, Nguyen
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, 11J68, 11J25, 11J97
الوصف: It was discovered that there is a formal analogy between Nevanlinna theory and Diophantine approximation. Via Vojta's dictionary, the Second Main Theorem in Nevanlinna theory corresponds to Schmidt's Subspace Theorem in Diophantine approximation. Recently, Cherry, Dethloff, and Tan (arXiv:1503.08801v2 [math.CV]) obtained a Second Main Theorem for moving hypersurfaces intersecting projective varieites. In this paper, we shall give the counterpart of their Second Main Theorem in Diophantine approximation.
Comment: 27 pages. arXiv admin note: text overlap with arXiv:1503.08801
نوع الوثيقة: Working Paper
DOI: 10.1016/j.jnt.2017.10.008
URL الوصول: http://arxiv.org/abs/1702.08215
رقم الأكسشن: edsarx.1702.08215
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.jnt.2017.10.008