# American Institute of Mathematical Sciences

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

## Segre classes of monomial schemes

 1 Mathematics Department, Florida State University, Tallahassee FL 32306, United States

Received  February 2013 Revised  May 2013 Published  May 2013

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.
Citation: Paolo Aluffi. Segre classes of monomial schemes. Electronic Research Announcements, 2013, 20: 55-70. doi: 10.3934/era.2013.20.55
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