Complex Hyperplane Arrangements
نویسنده
چکیده
We were fortunate to spend the 2004 fall semester in residence at MSRI, participating in the program on Hyperplane Arrangements and Applications. It was an intense, stimulating, productive, enlightening, eventful and most enjoyable experience. It was especially so for us long-timers in the field because the program truly marked a coming-of-age in the evolution of the subject from relative obscurity thirty years ago. We had an opportunity to introduce a group of graduate students to the wonders of arrangements during the two-week MSRI graduate school in Eugene in early August, and an impressive group of post-docs, along with many other unsuspecting mathematicians, during the program. We are glad to have this chance to bring some of the ideas to a wider audience. For further reference, we suggest the reader consult the books and survey articles listed on the summer school web page, www.math.neu.edu/~suciu/eugene04.html, and the references therein.
منابع مشابه
Morse theory, Milnor fibers and hyperplane arrangements
Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of any complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.
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متن کاملMorse Theory, Milnor Fibers and Minimality of Hyperplane Arrangements
Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of any complex hyperplane arrangement has the homotopy type of a CW-complex in which the number of p-cells equals the p-th betti number. Combining this result with recent work of Papadima and Suciu, one obtains a characterization of when ...
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