ON THE GORENSTEINIZATION OF SCHUBERT VARIETIES VIA BOUNDARY DIVISORS
Da Silva, Sergio Mathew Luis
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.
Algebraic Geometry; Mathematics; toric variety; Gorenstein Variety; Kazhdan-Lusztig Variety; Schubert Variety
Stillman, Michael Eugene; Swartz, Edward B.
Ph. D., Mathematics
Doctor of Philosophy
dissertation or thesis
Showing items related by title, author, creator and subject.
Reducing Damage from Potato Leafhoppers on Seedling Alfalfa Stands in New York through Variety Selection: A Comparison of Resistant vs. Susceptible Varieties Hansen, Julie; Miller-Garvin, Jill; Waldron, Keith; Viands, Don (New York State Integrated Pest Management Program, 1997)Alfalfa variety trials were planted at two locations in NY (Ithaca and Western NY (WNY)). Varieties planted were either resistant or susceptible to potato leafhopper (PLH), the most damaging insect pest of alfalfa in the ...
Reducing Damage from Potato Leafhoppers on Alfalfa in New York through Variety Selection: A Comparison of Resistant vs. Susceptible Varieties Hansen, Julie; Miller-Garvin, Jill; Waldron, Keith; Viands, Don (New York State Integrated Pest Management Program, 1998)Alfalfa variety trials were planted in 1997 at two locations in New York: Ithaca in Central New York and Clarendon in Western New York. Varieties in these trials were either resistant or susceptible to potato leafhopper ...