Some Koszul rings from geometry
نویسندگان
چکیده
منابع مشابه
K2 Factors of Koszul Algebras and Applications to Face Rings
Generalizing the notion of a Koszul algebra, a graded kalgebra A is K2 if its Yoneda algebra ExtA(k, k) is generated as an algebra in cohomology degrees 1 and 2. We prove a strong theorem about K2 factor algebras of Koszul algebras and use that theorem to show the Stanley-Reisner face ring of a simplicial complex ∆ is K2 whenever the Alexander dual simplicial complex ∆∗ is (sequentially) Cohen-...
متن کاملOn a Residue Representation of Deformation, Koszul and Chiral Rings
A residue-theoretic representation is given for massless matter fields in (quotients) of (weighted) Calabi-Yau complete intersection models and the corresponding chiral operators in Landau-Ginzburg orbifolds. The well known polynomial deformations are thus generalized and the universal but somewhat abstract Koszul computations acquire a concrete realization and a general but more heuristic rein...
متن کاملGeometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families
Abstract: We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical observables like energy, heat, and moment as pure geometrical objects. Using geometric Planck temperature of Souriau model and symple...
متن کاملSome nonlinear elliptic equations from geometry.
We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on (n), the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.
متن کاملNaive Introduction to Algebraic Geometry: the Geometry of Rings
I. BASIC TOOL: RATIONAL PARAMETRIZATION Algebraic geometry is a generalization of analytic geometry the familiar study of lines, planes, circles, parabolas, ellipses, hyperbolas, and their 3 dimensional versions: spheres, cones, hyperboloids, ellipsoids, and hyperbolic surfaces. The essential common property these all have is that they are defined by polynomials. This is the defining characteri...
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 Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.07.010