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On the Gorensteinization of Schubert Varieties via Boundary Divisors
Başlık:
On the Gorensteinization of Schubert Varieties via Boundary Divisors
Yazar:
Da Silva, Sergio Mathew Luis, author.
ISBN:
9780438027435
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (89 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Allen Knutson Committee members: Michael Stillman; Edward Swartz.
Özet:
We will describe a one-step "Gorensteinization" process for a Schubert variety by blowing-up along its boundary divisor. The local question involves Kazhdan-Lusztig varieties which can be degenerated to affine toric schemes defined using the Stanley-Reisner ideal of a subword complex. The blow-up along the boundary in this toric case is in fact Gorenstein. We show that there exists a degeneration of the blow-up of the Kazhdan-Lusztig variety to this Gorenstein scheme, allowing us to extend this result to Schubert varieties in general. The potential use of this one-step Gorensteinization to describe the non-Gorenstein locus of Schubert varieties is discussed, as well as the relationship between Gorensteinizations and the convergence of the Nash blow-up process in the toric case.
Notlar:
School code: 0058
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(681736.1) | 681736-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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