摘要: Let $$\varDelta $$ be the Okounkov body of a divisor $$D$$ on projective variety $$X$$ . We describe geometric criterion for to lattice polytope, and show that in this situation admits flat degeneration corresponding toric variety. This is functorial an appropriate sense.
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Sangjib Kim, Philip Foth, Toric degenerations of Bott-Samelson varieties ,(2009)
David Eisenbud, Commutative Algebra: with a View Toward Algebraic Geometry ,(1995)
David Allen Bayer, The division algorithm and the hilbert scheme Harvard University. ,(1982)
William Fulton, Introduction to Toric Varieties. ,(1993)
R. Lazarsfeld, Classical setting : line bundles and linear series Springer. ,(2004)
James E. Humphreys, Linear Algebraic Groups ,(1975)
Jens Carsten Jantzen, Representations of algebraic groups ,(1987)
Shrawan Kumar, Kac-Moody Groups, their Flag Varieties and Representation Theory ,(2002)
P. Magyar, Schubert polynomials and Bott-Samelson varieties Commentarii Mathematici Helvetici. ,vol. 73, pp. 603- 636 ,(1998) , 10.1007/S000140050071
Boris Pasquier, Vanishing theorem for the cohomology of line bundles on Bott–Samelson varieties Journal of Algebra. ,vol. 323, pp. 2834- 2847 ,(2010) , 10.1016/J.JALGEBRA.2010.03.016