Homological and Computational Methods in Commutative Algebra

<p>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.</p><p></p>