Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections

• Let M and N be finitely generated graded modules over a graded complete intersection R such that Ext^i_R(M, N) has finite length for all i >> 0. We show that the even and odd Hilbert polynomials, which give the lengths of Ext^i_R(M, N) for all large even i and all large odd i, have the same degree and leading coefficient whenever the highest degree of these polynomials is at least the dimension of M or N . Refinements of this result are given when R is regular in small codimensions. 

Ämnesord

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Nyckelord

Complete intersection

Complexity

Graded ring

Hilbert series

Mathematics/Applied Mathematics

matematik/tillämpad matematik

Publikations- och innehållstyp

ref (ämneskategori)

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