代数几何V:FANO簇

代数几何V:FANO簇 pdf epub mobi txt 电子书 下载 2025

出版者:
作者:帕尔申
出品人:
页数:245
译者:
出版时间:2009-1
价格:58.00元
装帧:
isbn号码:9787030234896
丛书系列:国外数学名著系列(影印版)
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  • 代数几何7 
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《国外数学名著系列(续1)(影印版)46:代数几何5(Fano簇)》 will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.The aim of this survey, written by V. A. lskovskikh and Yu. G.Prokhorov, is to provide an exposition of the structure theory of Fano varieties, i.e. algebraic varieties with an ample anticanonical divisor.Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension, and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fanolskovskikh"double projection"method and its modifications,the vector bundles method due to S. Mukai, and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties.

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