光滑双曲圆锥是分面体阴影
Smooth Hyperbolicity Cones are Spectrahedral Shadows
摘要：
双曲锥是由双曲多项式产生的凸代数锥。双曲锥的一个很好理解的子类是谱面体锥，并且证明了每个双曲锥都是谱面体锥。在本文中，我们证明了这个猜想的一个较弱的版本，通过证明每个光滑的双曲锥是一个谱面体锥的线性投影，即，一个谱面体阴影。
英文摘要：
Hyperbolicity cones are convex algebraic cones arising from hyperbolic polynomials. A well-understood subclass of hyperbolicity cones is that of spectrahedral cones and it is conjectured that every hyperbolicity cone is spectrahedral. In this paper we prove a weaker version of this conjecture by showing that every smooth hyperbolicity cone is the linear projection of a spectrahedral cone, that is, a spectrahedral shadow.
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