Computation of the $a$-invariant of ladder determinantal rings

Christian Krattenthaler (Universit\"at Wien); Sudhir R. Ghorpade (IIT Bombay)

arxiv: 1503.03842 · v2 · pith:VBXC6WOJnew · submitted 2015-03-12 · 🧮 math.CO · math.AC

Computation of the a-invariant of ladder determinantal rings

Sudhir R. Ghorpade (IIT Bombay) , Christian Krattenthaler (Universit\"at Wien) This is my paper

classification 🧮 math.CO math.AC

keywords ladderdeterminantalinvariantringsalgorithmiccasecompactcomputation

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We solve the problem of effectively computing the $a$-invariant of ladder determinantal rings. In the case of a one-sided ladder, we provide a compact formula, while, for a large family of two-sided ladders, we provide an algorithmic solution.

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Computation of the a-invariant of ladder determinantal rings

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