the elimination of the z leads to one set of differential algebraic equations (hence, with no inequations ) if the projection map along z is a finite morphism of algebraic varieties; that is, if the differential algebra which defines the system is integral over a suitable differential subalgebr...
This chapter is concerned mainly with the dimension-theoretical analysis of morphisms between varieties. This involves substantially more commutative algebra than has been used up to now. Thus, Section 1 establishes Noether鈥檚 Normalization Theorem, which is used for reducing some of the required ...
Google Share on Facebook morphism (redirected fromMorphisms) Encyclopedia mor·phism (môr′fĭz′əm) n. In mathematical category theory, a generalization or abstraction of the concept of a structure-preserving function. American Heritage® Dictionary of the English Language, Fifth Edition. ...
22 Weak solutions to the master equation of a potential mean field game 57:26 Controlling Human Microbiota 48:56 Describing interacting particle systems via partial differential equations and g 30:38 Differential Equations and Algebraic Geometry - 1 56:20 Epidemic Model-Based Benchmark for Optimal ...
The paper deals with the first systematic study of the spaces of regular and ratinal maps between arbitrary algebraic varieties over a real closed field R. We find conditions under which these spaces are reduced to the space of Zariski locally constant maps, we investigate the finiteness propertie...
A characterization of arbitrary Prym varieties is established in terms of the multi-component KP equations. This characterization is obtained as a consequence of an equivalence between a category of covering morphisms of algebraic curves... Y Li,M Mulase - 《Communications in Analysis & Geometry》...
Higher discriminants and the topology of algebraic maps We show that the way in which Betti cohomology varies in a proper family of complex algebraic varieties is controlled by certain "higher discriminants" in the base. These discriminants are defined in terms of transversality conditions, w......
The web of Calabi-Yau hypersurfaces in toric varieties (n-1)$-dimensional projective algebraic compactifications of $\\Delta$-regular affine hypersurfaces $Z_f$ defined by Laurent polynomials $f$ with a ... VV Batyrev - 《J.alg.geom》 被引量: 240发表: 1993年 GKZ-Generalized ...
After the proof of a not very known refinement of the Noether Normalization Theorem, we obtain two sharp degree bounds for the geometric degree of a dominating morphism of irreducible affine algebraic varieties and for the degree of the components of the inverse of an isomorphism of such varieties...
这有个东西,请评价We consider morphism of tangent spaces.Let $\phi:X\rightarrow Y$ be a morphism of affine algebraic varieties which maps $x$ to $y=\phi(x)$.It gives an homomorphism of algebra $\phi^*:k[Y]\rightarrow k[X]$... 分享74赞 天下布魔ma吧 成步堂lzj 为什么说娜娜不是...