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Abstract: We propose a theory of combinatorially explicit Schubert polynomials whichrepresent the Schubert classes in the Borel presentation of the cohomology ringof orthogonal flag varieties. We use these polynomials to describe thearithmetic Schubert calculus on these spaces. We also give a method to computethe natural arithmetic intersection numbers which arise, and prove that theyare all rational numbers.



Autor: Harry Tamvakis

Fuente: https://arxiv.org/







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