Groebner fan içerisinde tropikal hiperyüzeyler.
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Özet (EN)
Given an ideal I in the polynomial ring k[x1,… ,xn], the Groebner fan of I is a structure in R^n forming a polyhedral complex. Any ideal I has a tropicalization which is called the tropical variety associated to I. This variety is a piecewise linear object that is directly related to the Groebner fan of that ideal. The aim of this thesis is to have a better understanding of tropical varieties of codimension 1 and 2, and to observe that the tropical variety of a given ideal is in fact a sub-complex of the corresponding Groebner fan.
Yazar
Muharrem Barış Ötüş
Kurum
Bu Yayına Nasıl Atıf Yapılır
Muharrem Barış Ötüş (Master Thesis). Groebner fan içerisinde tropikal hiperyüzeyler., 2015, Koç University.
Anahtar Kelimeler
Lisans
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