Birational Geometry and Moduli Spaces
暫譯: 雙有理幾何與模空間

Colombo, Elisabetta, Fantechi, Barbara, Frediani, Paola

  • 出版商: Springer
  • 出版日期: 2020-02-26
  • 售價: $5,230
  • 貴賓價: 9.5$4,969
  • 語言: 英文
  • 頁數: 200
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030371131
  • ISBN-13: 9783030371135
  • 海外代購書籍(需單獨結帳)

商品描述

This volume collects contributions from speakers at the INdAM Workshop "Birational Geometry and Moduli Spaces", which was held in Rome on 11-15 June 2018. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. In particular, the book includes both surveys and original papers on irreducible holomorphic symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle, birational transformations, and deformations of diagrams of algebras. The intention is to disseminate the knowledge of advanced results and key techniques used to solve open problems. The book is intended for all advanced graduate students and researchers interested in the new research frontiers of birational geometry and moduli spaces.


商品描述(中文翻譯)

本卷收錄了在2018年6月11日至15日於羅馬舉行的INdAM研討會「雙有理幾何與模空間」的講者貢獻。該研討會專注於雙有理幾何與模空間之間的相互作用,卷中的貢獻反映了這一理念,重點關注這兩個領域及其互動。特別是,本書包括了有關不可約全純辛流形、Severi多樣體、Calabi-Yau多樣體的退化、單曲面三重空間、錐形Fano三重空間、鏡像對稱、典範束公式、Lefschetz原則、雙有理變換以及代數圖的變形的調查和原創論文。其目的是傳播解決開放問題所需的先進結果和關鍵技術的知識。本書適合所有對雙有理幾何和模空間的新研究前沿感興趣的高級研究生和研究人員。

作者簡介

Elisabetta Colombo is Associate Professor of Geometry at the University of Milan. Her research field is complex algebraic geometry, and she studies mainly curves and abelian varieties and their moduli.
Barbara Fantechi is Full Professor in Geometry at SISSA-ISAS in Trieste. Her research interests include deformation theory, derived algebraic geometry, and stacks.

Paola Frediani is Associate Professor of Geometry at the University of Pavia. Her research area is algebraic geometry, in particular moduli spaces of curves and abelian varieties and Hodge theory.

Donatella Iacono is a Researcher in Geometry at the University of Bari. Her research focuses on deformation theory and differential graded Lie algebras in algebraic geometry.

Rita Pardini is Full Professor of Geometry at the University of Pisa. Her research area is algebraic geometry, especially surfaces and their moduli, irregular varieties, and coverings.

作者簡介(中文翻譯)

埃莉薇塔·科倫波是米蘭大學的幾何學副教授。她的研究領域是複代數幾何,主要研究曲線和阿貝爾變數及其模空間。
芭芭拉·范特基是特里斯特的SISSA-ISAS幾何學全職教授。她的研究興趣包括變形理論、導出代數幾何和堆疊。

保拉·弗雷迪亞尼是帕維亞大學的幾何學副教授。她的研究領域是代數幾何,特別是曲線和阿貝爾變數的模空間以及霍奇理論。

多娜泰拉·伊亞科諾是巴里大學的幾何學研究員。她的研究重點是代數幾何中的變形理論和微分分級李代數。

麗塔·帕爾迪尼是比薩大學的幾何學全職教授。她的研究領域是代數幾何,特別是曲面及其模空間、不規則變數和覆蓋。

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