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Birational Geometry and Moduli Spaces

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  • © 2020

Overview

  • Includes high-quality contributions from leading experts
  • Provides a wide variety of examples and up-to-date surveys
  • Offers new connections between birational geometry and moduli spaces

Part of the book series: Springer INdAM Series (SINDAMS, volume 39)

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Table of contents (11 chapters)

Keywords

About this book

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. 


Editors and Affiliations

  • Department of Mathematics, University of Milan, Milano, Italy

    Elisabetta Colombo

  • SISSA - International School for Advanced Studies, Trieste, Italy

    Barbara Fantechi

  • Department of Mathematics, University of Pavia, Pavia, Italy

    Paola Frediani

  • Department of Mathematics, Università degli Studi di Bari, Bari, Italy

    Donatella Iacono

  • Department of Mathematics, University of Pisa, Pisa, Italy

    Rita Pardini

About the editors

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.


Bibliographic Information

  • Book Title: Birational Geometry and Moduli Spaces

  • Editors: Elisabetta Colombo, Barbara Fantechi, Paola Frediani, Donatella Iacono, Rita Pardini

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-3-030-37114-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-37113-5Published: 26 February 2020

  • Softcover ISBN: 978-3-030-37116-6Published: 26 February 2021

  • eBook ISBN: 978-3-030-37114-2Published: 25 February 2020

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: IX, 200

  • Number of Illustrations: 76 b/w illustrations

  • Topics: Algebraic Geometry, Category Theory, Homological Algebra

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