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  • © 2017

Homological and Computational Methods in Commutative Algebra

Dedicated to Winfried Bruns on the Occasion of his 70th Birthday

  • Provides a comprehensive overview and extensive bibliographic references
  • Offers insights into the fields of commutative algebra, algebraic geometry and homological algebra
  • Includes international contributions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS, volume 20)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
  2. Betti Diagrams with Special Shape

    • Mina Bigdeli, Jürgen Herzog
    Pages 33-52
  3. Koszul Algebras Defined by Three Relations

    • Adam Boocher, S. Hamid Hassanzadeh, Srikanth B. Iyengar
    Pages 53-68
  4. Some Algebras with the Weak Lefschetz Property

    • David Cook II, Uwe Nagel
    Pages 69-80
  5. Multigraded Generic Initial Ideals of Determinantal Ideals

    • Aldo Conca, Emanuela De Negri, Elisa Gorla
    Pages 81-96
  6. A Stronger Local Monomialization Theorem

    • Steven Dale Cutkosky
    Pages 97-106
  7. Ideals Associated to Poset Homomorphisms: A Survey

    • Martina Juhnke-Kubitzke, Sara Saeedi Madani
    Pages 129-140
  8. How to Flatten a Soccer Ball

    • Kaie Kubjas, Pablo A. Parrilo, Bernd Sturmfels
    Pages 141-162
  9. The Smallest Normal Edge Polytopes with No Regular Unimodular Triangulations

    • Ginji Hamano, Takuji Hayashi, Takayuki Hibi, Koichi Hirayama, Hidefumi Ohsugi, Kei Sato et al.
    Pages 163-172
  10. Algebras with the Weak Lefschetz Property

    • Alfio Ragusa
    Pages 199-222
  11. About Multiplicities and Applications to Bezout Numbers

    • M. Azeem Khadam, Peter Schenzel
    Pages 223-238
  12. A Polynomial Identity via Differential Operators

    • Anurag K. Singh
    Pages 239-247
  13. F-Thresholds, Integral Closure and Convexity

    • Matteo Varbaro
    Pages 249-256

About this book

This volume collects contributions by leading experts in the area of commutative algebra related to the  INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to  June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Genova, Genova, Italy

    Aldo Conca

  • Department of Mathematics, San Francisco State University, San Francisco, USA

    Joseph Gubeladze

  • FB Mathematik/Informatik, Universität Osnabrück, Osnabrück, Germany

    Tim Römer

About the editors

​Aldo Conca received a Ph.D. in mathematics from the University of Essen (Germany) in 1993. Since 2000 he has been a professor of algebra at the University of Genova (Italy). His main research interest lies  in commutative algebra and its interactions with algebraic geometry and combinatorics. 

Joseph Gubeladze graduated from Tbilisi State University in 1983. He received his Ph.D. in mathematics in 1985 and Doctor of Science in 1990 from St. Petersburg State University. He worked at Razmadze Mathematical Institute in Tbilisi from 1983. After several research positions in Europe and the USA, he joined San Francisco State University in 2003, where he is currently a professor of mathematics. He is interested in K-theory of toric varieties and lattice polytopes.

Tim Römer received his Ph.D. from the University of Essen (Germany) in 2001. Since 2008 he has been a professor of algebra at the University of Osnabrück (Germany). His main research interests are in the area of commutative algebra with applications to algebraic/discrete geometry, algebraic combinatorics and algebraic statistics.


Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access