[Turkmath:6668] Seminer Duyurusu: MSGSU Matematik Bolumu Genel Semineri

[Mustafa Topkara]

Mimar Sinan Guzel Sanatlar Universitesi Matematik Bolumu Genel Seminerleri

Gorenstein Monomial Curves
Konusmaci: Doc.Dr. Feza Arslan (OrtadoÄŸu Teknik Universitesi)

Yer :  408 No’lu Amfi
MSGSU Fen Edebiyat Fakultesi (Besiktas)

Zaman :  20 Kasim 2009 Cuma, 11:00

Oz:
Contrary to the graded algebra case, very little is known about the Hilbert
functions of local rings. Rossi conjectured that every one-dimensional
Gorenstein local ring has a nondecreasing Hilbert function. This conjecture
is open even for Gorenstein local rings corresponding to monomial curves. In
this talk, I will present some partial results supporting Rossi’s conjecture
in the Gorenstein monomial curve case. These results based on the tool of
gluing provide infinitely many families of Gorenstein monomial curves with
the corresponding local Gorenstein rings having nondecreasing Hilbert
functions.
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