Universal inequalities in Ehrhart theory

• In this paper, we show the existence of universal inequalities for the h*-vector of a lattice polytope P, that is, we show that there are relations among the coefficients of the h*-polynomial that are independent of both the dimension and the degree of P. More precisely, we prove that the coefficients h* (1) and h* (2) of the h*-vector (h* (0), h* (1),..., h* (d) ) of a lattice polytope of any degree satisfy Scott's inequality if h* (3) = 0.

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NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

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