Segre classes of monomial schemes

Paolo Aluffi

doi:10.3934/era.2013.20.55

Article Contents

2013, Volume 20: 55-70. Doi: 10.3934/era.2013.20.55

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Segre classes of monomial schemes

Paolo Aluffi^1,

1.
Mathematics Department, Florida State University, Tallahassee FL 32306

Received: February 2013

Revised: May 2013

Published: January 2013

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Abstract

We propose an explicit formula for the Segre classes of monomial subschemes of nonsingular varieties, such as schemes defined by monomial ideals in projective space. The Segre class is expressed as a formal integral on a region bounded by the corresponding Newton polyhedron. We prove this formula for monomial ideals in two variables and verify it for some families of examples in any number of variables.

Mathematics Subject Classification: 14C17.

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References

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