The goal of this paper is to present examples of families of homogeneous ideals in the polynomial ring over a field that satisfy the following condition: every product of ideals of the family has a linear free resolution. As we will see, this condition is strongly correlated to good primary decompositions of the products and good homological and arithmetical properties of the associated multi-Rees algebras. The following families will be discussed in detail: polymatroidal ideals, ideals generated by linear forms, and Borel-fixed ideals of maximal minors. The main tools are Gröbner bases and Sagbi deformation.
Titolo: | Linear resolutions of powers and products | |
Autori: | ||
Data di pubblicazione: | 2017 | |
Handle: | http://hdl.handle.net/11567/884592 | |
ISBN: | 978-3-319-28828-4 978-3-319-28829-1 | |
Appare nelle tipologie: | 02.01 - Contributo in volume (Capitolo o saggio) |
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