Beauville surfaces and groups
著者
書誌事項
Beauville surfaces and groups
(Springer proceedings in mathematics & statistics, v. 123)
Springer, c2015
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
"The conference "Beauville Surfaces and Groups 2012" was held in the University of Newcatsle, UK, from 7 to 9 June 2012." --introduction
内容説明・目次
内容説明
This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces.
Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject.
These proceedings reflect the topics of the lectures presented during the workshop 'Beauville surfaces and groups 2012', held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces.
目次
Introduction.- THE FUNDAMENTAL GROUP AND TORSION GROUP OF BEAUVILLE SURFACES.- REGULAR ALGEBRAIC SURFACES, RAMIFICATION STRUCTURES AND PROJECTIVE PLANES.- A SURVEY OF BEAUVILLE p-GROUPS.- STRONGLY REAL BEAUVILLE GROUPS.- BEAUVILLE SURFACES AND PROBABILISTIC GROUP THEORY.- The Classification of Regular Surfaces Isogenous to a Product of Curves with $\chi(\mathcal O_S) = 2$.- Characteristically simple Beauville groups, II: low rank and sporadic groups.- REMARKS ON LIFTING BEAUVILLE STRUCTURES OF QUASISIMPLE GROUPS.- SURFACES ISOGENOUS TO A PRODUCT OF CURVES, BRAID GROUPS AND MAPPING CLASS GROUPS.- ON QUASI-{\'E}TALE QUOTIENTS OF A PRODUCT OF TWO CURVES.- Isotrivially fibred surfaces and their numerical invariants.
「Nielsen BookData」 より