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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR FCT 81016 (Browse shelf) | 1 | Available |
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| QA564.SPR FCT 102589 Advances in algebra | QA564.SPR FCT 103656 Geometric algebra applications vol. II | QA564.SPR FCT 80796 Emerging applications of algebraic geometry | QA564.SPR FCT 81016 Cohomological and geometric approaches to rationality problems | QA564.SPR FCT 81053 Configurations from a graphical viewpoint | QA564.SPR FCT 81149 Deformation theory | QA564.SPR FCT 81278 Algebraic geometry and commutative algebra |
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Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel
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