منابع مشابه
Infinitesimal deformation quantization of complex analytic spaces
For the physical aspects of deformation quantization we refer to the expository and survey papers [4] and [10]. Our objective is to initiate a version of global theory of quantization deformation in the category of complex analytic spaces in the same lines as the theory of (commutative) deformation. The goal of inifinitesimal theory is to do few steps towards construction of a star-product in t...
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We describe in terms of the j-invariant all elliptic surfaces π : X → C with a section, such that h(X) = rankNS(X) and the Mordell-Weil group of π is finite. We use this to give a complete solution to infinitesimal Torelli for elliptic surfaces over P with a section.
متن کاملMAT 614 Notes on Infinitesimal Deformation Theory
For every local ring R in what follows, mR denotes the maximal ideal. Let Λ̃ be a complete, regular, local Noetherian ring, let E ⊂ m Λ̃ be an ideal, and denote the quotient by Λ. Thus, Λ is also a complete, local Noetherian ring. Denote the residue field Λ/mΛ by k. Denote by C = CΛ the category whose objects are Λ-algebras A such that (i) A is a local, Artin ring with mΛA ⊂ mA, and (ii) the indu...
متن کاملInfinitesimal Torelli Theorem for Surfaces with C
In the present paper, we will prove the infinitesimal Torelli theorem for general minimal complex surfaces X’s with c1 = 3, χ(O) = 2, and Tors(X) ≃ Z/3, where c1, χ(O), and Tors(X) are the first Chern class, the Euler characteristic of the structure sheaf, and the torsion part of the Picard group of X, respectively. We will also show that all surfaces with the invariants as above are deformatio...
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Based on dynamic fourth order partial differential equations, we present an iterative finite difference algorithm. With C++ language and OpenGL graphics library, we implement the finite difference algorithm into a user interface and develop shape control parameters, density, damping coefficient, boundary tangents and external forces into user handles for dynamic manipulation of surface deformat...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1902
ISSN: 0002-9327
DOI: 10.2307/2369967