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On the equations for universal torsors over del Pezzo surfaces

Vera V. Serganova, Alexei. N. Skorobogatov

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Source: Crossref

Published: Aug 11, 2009

DOI: 10.1017/s1474748009000164

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Source abstract

Abstract We describe equations of the universal torsors over del Pezzo surfaces of degrees from 2 to 5 over an algebraically closed field in terms of the equations of the corresponding homogeneous space G / P . We also give a generalization for fields that are not algebraically closed.

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On the equations for universal torsors over del Pezzo surfaces — Mathematical Frontier Network