Regina lectures on fat points. (English) Zbl 1315.14012
Cooper, Susan M. (ed.) et al., Connections between algebra, combinatorics, and geometry. Selected papers based on the presentations at the workshop, Regina, Canada, May 29 – June 1, 2012, the special session on interactions between algebraic geometry and commutative algebra, Regina, Canada, June 2–3, 2012 and the conference on further connections between algebra and geometry, Fargo, ND, USA, February 2–3, 2013. New York, NY: Springer (ISBN 978-1-4939-0625-3/hbk; 978-1-4939-0626-0/ebook). Springer Proceedings in Mathematics & Statistics 76, 147-187 (2014).
Summary: These notes are a record of lectures given in the Workshop on Connections Between Algebra and Geometry at the University of Regina, May 29–June 1, 2012. The lectures were meant as an introduction to current research problems related to fat points for an audience that was not expected to have much background in commutative algebra or algebraic geometry (although Sects. 8 and 9 of these notes demand somewhat more background than earlier sections).
For the entire collection see [Zbl 1291.13001].
For the entire collection see [Zbl 1291.13001].
MSC:
| 14C20 | Divisors, linear systems, invertible sheaves |
| 14M05 | Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) |
| 14N05 | Projective techniques in algebraic geometry |
| 13D40 | Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
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