Topics in Enumerative Algebraic Geometry Lecture 19
نویسنده
چکیده
T : C −−−−→ R+ yM integer matrix T r ←−−−− R Then the toric manifold X is defined to be J(ω)/T r , where ω is a point in K, an open cone in R (please refer to previous lectures). Assume that X is smooth, i. e. T r action on J(ω) is free, we have: H∗(X) = H∗ T r(J (ω)) We first notice that J(ω) is T-equivariantly homotopic to J(K) where J(K) = C \ ∪ (Coordinate subspaces which miss K under J) .
منابع مشابه
Enumerative Algebraic Geometry of Conics
1. INTRODUCTION. In 1848 Jakob Steiner, professor of geometry at the University of Berlin, posed the following problem [19]: Given five conics in the plane, are there any conics that are tangent to all five? If so, how many are there? Problems that ask for the number of geometric objects with given properties are known as enumera-tive problems in algebraic geometry. The tools developed to solve...
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تاریخ انتشار 2005