Integral closures in real algebraic geometry
نویسندگان
چکیده
منابع مشابه
Numerical Real Algebraic Geometry
Sottile’s lectures from the Oberwolfach Seminar “New trends in algorithms for real algebraic geometry”, November 23–28, 2009.
متن کاملEnumerative Real Algebraic Geometry
Two well-defined classes of structured polynomial systems have been studied from this point of view—sparse systems, where the structure is encoded by the monomials in the polynomials fi—and geometric systems, where the structure comes from geometry. This second class consists of polynomial formulations of enumerative geometric problems, and in this case Question 1.1 is the motivating question o...
متن کاملTopology and Real Algebraic Geometry
The problem of solving real polynomial equations long fascinated people. Starting with a finite number of points on the real line one can get many complicated spaces as zero sets of polynomials. For example every closed P.L. manifold occurs as an algebraic set [3]. The main goal of understanding the topology of algebraic sets is to topologically characterize the image of the forgetful functor {...
متن کاملReal Algebraic Geometry in Convex Optimization
Real Algebraic Geometry in Convex Optimization
متن کاملAlgorithms in Real Algebraic Geometry: A Survey
We survey both old and new developments in the theory of algorithms in real algebraic geometry – starting from effective quantifier elimination in the first order theory of reals due to Tarski and Seidenberg, to more recent algorithms for computing topological invariants of semi-algebraic sets. We emphasize throughout the complexity aspects of these algorithms and also discuss the computational...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2020
ISSN: 1056-3911,1534-7486
DOI: 10.1090/jag/769