Lattices, Diophantine equations and applications to rational surfaces
Lattices, Diophantine equations and applications to rational surfaces
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晶格、丢番图方程及其在有理曲面上的应用
DOI:
10.1007/s11425-012-4374-2
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发表时间:
2012-02
期刊:
影响因子:
--
通讯作者:
Zhang JiaJin
中科院分区:
文献类型:
--
作者:
Xu Mang;Zhang JiaJin
In this article, we study certain quadratic Diophantine equations in Picard lattices of blow-ups of the complex projective plane, and describe their relations with root systems and Weyl group orbits of quasiminuscule fundamental weights. We apply these to study the geometry of certain rational surfaces.
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DOI:
10.1112/jlms/jdp053
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期刊:
Journal of the London Mathematical Society
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