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arXiv · 1303.6874

Invariants of ideals generated by pfaffians

Emanuela De Negri·Elisa Gorla
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Abstract

Ideals generated by pfaffians are of interest in commutative algebra and algebraic geometry, as well as in combinatorics. In this article we compute multiplicity and Castelnuovo-Mumford regularity of pfaffian ideals of ladders. We give explicit formulas for some families of ideals, and indicate a procedure that allows to recursively compute the invariants of any pfaffian ideal of ladder. Our approach makes an essential use of liaison theory.

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Emanuela De Negri, Elisa Gorla. 2013-03-27. Invariants of ideals generated by pfaffians. https://arxiv.org/abs/1303.6874

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