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Macaulay2Doc :: genera(Ring)

genera(Ring) -- list of the successive linear sectional arithmetic genera

Synopsis

Description

Computes the list of succesive linear sectional arithmetic genera, where the i-th entry in the list is the arithmetic genus of the i-th succesive generic hyperplane section of V (= (-1)^dim-lin-section * (chi(OO_lin-section) - 1)).
i1 : R = ZZ/101[x_0..x_4];
i2 : I = ideal random(R^1, R^{-2,-3});

o2 : Ideal of R
i3 : genera(R/I)

o3 = {1, 4, 5}

o3 : List

See also