About 46,200 results
|In view of (4.8.3), as in the one variable case, one can define direct analytic |
continuation and then define analytic ... this holds outside an exceptional set A;
by Riemann Extension Theorem (14.3) the functions occurring in (D are extended
in A ...
|... lifting theorems) have played an important role in the cross-fertilization of |
analytic and algebraic geometry, and especially in ... vanishing theorems of
Kodaira! type and various extension results connected to the Ohsawa-Takegoshi
|Q.E.D. Alternate proof of Theorem B. If Theorem B is false then we will have a |
sequence of numbers o*k tending to + °° such that there ... Let M and V be
complex manifolds and Z a proper analytic subvariety of M. An interesting
problem is to find conditions under which an ... in the canonical bundle K — A"T*(
V) leads to an extension theorem for equi-dimensional, non-degenerate
|In the general context of Theorem (3.8), Demailly considered the space of |
holomorphic functions f of finite degree 5(f) and proves a volume estimate for [Z f]
in ... The proof of the quasi-surjectivity of F, makes use of a current extension
|Distinguished, formal analytic space, 121 formal covering, 81 strictly k-affinoid |
algebra, 81, 98 Ends Of ... 117 Hurwitz-Weierstrass Theorem, 70 Idempotent,
associated, 136 Immediate extension, 18 Immersion, 51 closed, 33, 49 open, ...
|A. Let teaxt : Y -> Y denote the extension of ta to Y. Then teaxi ° $ : N -> Y extends |
the morphism ta : A -> A. Since teaxt is an isomorphism, ... can extend Theorem
5.2.2 to the case where the residue field k is not separably algebraically closed.
|Euler's theorems on curvature of surfaces, 221. Evolutcs of curves, 301, 303. |
Families of surfaces, 839, &c Faure, extension of his theorem on self- conjugate
triangles, 147. Ferrers, lus proof of a theorem of Chasles', 181. Fcuerbach's
|68 (a) Extend (1) of the theorem on products and quotients of complex numbers |
to three complex numbers. (b) Generalize (1) of the theorem to n complex
numbers. Exer. 69—72: The trigonometric form of complex numbers is often used
|STOKES' THEOREM THEOREM 5 (Stokes' Theorem) Suppose that F is a |
bounded, closed, orientable, piecewise ... (5) Stokes' Theorem in this form can be
viewed as an extension of Green's Theorem from plane surfaces to surfaces in
|The process of implicit differentiation enables us to extend Theorems 5-4 and 5-8 |
to include the case where n is any rational number. We have already assumed
the truth of the following theorem, which we now prove: THE0REM 5–9. Let y = u"
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