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- Mitchell InstituteUS73 papers
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Showing 2009 · math.AGShow all
3 papers · 2 filters
math.AG2009★ 1 cited
Frontiers of Reality in Schubert Calculus
Frank Sottile
The theorem of Mukhin, Tarasov, and Varchenko (formerly the Shapiro conjecture for Grassmannians) asserts that all (a priori complex) solutions to certain geometric problems in the…
math.AG2009
Fewnomial bounds for completely mixed polynomial systems
Frederic Bihan, Frank Sottile
We give a bound for the number of real solutions to systems of n polynomials in n variables, where the monomials appearing in different polynomials are distinct. This bound is smal…
math.AG2009★ 6 cited
On the ranks and border ranks of symmetric tensors
J. M. Landsberg, Zach Teitler
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the ranks and border ranks of symmetric tensors using geometric methods. We…