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Abstract
We compute the mixed multiplicities of the Rees algebra of the ideal generated by the minors of the matrix
For that we have to solve the problem of counting lattice paths in a right triangle, which meet the diagonal a fixed number of times.
ACKNOWLEDGMENT
The authors would like to thank Prof. Ngo Viet Trung for his guidance.
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under the grant number 101.01-2011.37.
Notes
Communicated by S. Goto.