This quantity includes papers in response to shows given on the Pan-American complex stories Institute (PASI) on commutative algebra and its connections to geometry, which used to be held August 3-14, 2009, on the Universidade Federal de Pernambuco in Olinda, Brazil. the most aim of this system was once to element fresh advancements in commutative algebra and interactions with such components as algebraic geometry, combinatorics and machine algebra. The articles during this quantity be aware of issues principal to fashionable commutative algebra: the homological conjectures, difficulties in confident and combined attribute, tight closure and its interplay with birational geometry, necessary dependence and blowup algebras, equisingularity concept, Hilbert capabilities and multiplicities, combinatorial commutative algebra, Grobner bases and computational algebra.
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