Some geometric properties of certain toric varieties and schubert varieties

This thesis has three distinct chapters: Bruhat-Hibi toric varieties, Gorenstein Schubert varieties in a minuscule G/P, and Wahl's conjecture for a minuscule G/P. We begin with a study of toric varieties associated to Bruhat lattices for a minuscule G/P. Our main result is a combinatorial chara...

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Online Access:http://hdl.handle.net/2047/d10018438

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