 About 46,200 results  books.google.com 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 ... 

 books.google.com ... lifting theorems) have played an important role in the crossfertilization of
analytic and algebraic geometry, and especially in ... vanishing theorems of
Kodaira! type and various extension results connected to the OhsawaTakegoshi
theorem. 

 books.google.com 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 equidimensional, nondegenerate
holomorphic mappings. 

 books.google.com 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 quasisurjectivity of F, makes use of a current extension
theorem. 

 books.google.com Distinguished, formal analytic space, 121 formal covering, 81 strictly kaffinoid
algebra, 81, 98 Ends Of ... 117 HurwitzWeierstrass Theorem, 70 Idempotent,
associated, 136 Immediate extension, 18 Immersion, 51 closed, 33, 49 open, ... 

 books.google.com 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. 

 books.google.com 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
theorem ... 

 books.google.com 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
by ... 

 books.google.com 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
three ... 

 books.google.com The process of implicit differentiation enables us to extend Theorems 54 and 58
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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