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© 2020

Birational Geometry and Moduli Spaces

  • Elisabetta Colombo
  • Barbara Fantechi
  • Paola Frediani
  • Donatella Iacono
  • Rita Pardini
Book

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Ciro Ciliberto, Thomas Dedieu, Concettina Galati, Andreas Leopold Knutsen
    Pages 29-36
  3. Enrica Floris, Vladimir Lazić
    Pages 37-55
  4. Emma Lepri, Marco Manetti
    Pages 77-107
  5. César Lozano Huerta, Alex Massarenti
    Pages 109-131
  6. Stefan Schreieder, Luca Tasin
    Pages 189-200

About this book

Introduction

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.

Keywords

Moduli Spaces Birational Geometry Deformation Theory Holomorphic sympletic manifolds Birational transformations

Editors and affiliations

  • Elisabetta Colombo
    • 1
  • Barbara Fantechi
    • 2
  • Paola Frediani
    • 3
  • Donatella Iacono
    • 4
  • Rita Pardini
    • 5
  1. 1.Department of MathematicsUniversity of MilanMilanoItaly
  2. 2.SISSA - International School for Advanced StudiesTriesteItaly
  3. 3.Department of MathematicsUniversity of PaviaPaviaItaly
  4. 4.Department of MathematicsUniversità degli Studi di BariBariItaly
  5. 5.Department of MathematicsUniversity of PisaPisaItaly

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
  • Series Abbreviated Title Spr. INDAM Ser.
  • DOI https://doi.org/10.1007/978-3-030-37114-2
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-37113-5
  • Softcover ISBN 978-3-030-37116-6
  • eBook ISBN 978-3-030-37114-2
  • Series ISSN 2281-518X
  • Series E-ISSN 2281-5198
  • Edition Number 1
  • Number of Pages IX, 200
  • Number of Illustrations 76 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
    Category Theory, Homological Algebra
  • Buy this book on publisher's site