Homological and Computational Methods in Commutative Algebra Dedicated to Winfried Bruns on the Occasion of his 70th Birthday

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.

1 Betti sequances over standard graded algebras commutative algebras with two relations.- 2 Betti diagrams with special shapes.- 3 Koszul algebras defined by three relations.- 4 Some algebras with the weak Lefschetz property.- 5 Multigraded gereric initial ideals of determinantal ideals.- 6 A stronger local monomialization theorem.- 7 The Cayley trick for tropical hypersurfaces with a view towards Ricardian economics.- 8 Ideals Associated to poset homomorphisms: a survey.- 9 How to flatten a soccer ball.- 10 The smallest normal edge polytopes with no regular unimodular triangulations.- 11 Homological conjectures and lim Cohen-Macaulay sequences.- 12 Algebras with the Weak Lefschetz Property.- 13 About multiplicities and applications of Bezout numbers.- 14 A polynomial identity via differential operators.- 15 F-threshold, integral closure, convexity.