Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Wermer, John"'
Autor:
Wermer, John
We consider complex projective space P^{n} and a smooth closed curve gamma in P^{n}. Harvey and Lawson have defined the notion of the projective hull \hat{K} of a compact subset K in P^n. This concept is an analogue of the polynomial hull of compact
Externí odkaz:
http://arxiv.org/abs/0807.3583
Autor:
Lawson Jr., H. Blaine, Wermer, John
Let X be a complex manifold and c a simple closed curve in X. We address the question: What conditions on c ensure the existence of a 1-dimensional complex subvariety V with boundary c in X. When X = C^n, an answer to this question involves the polyn
Externí odkaz:
http://arxiv.org/abs/0806.4776
Autor:
Lawson, Blaine, Wermer, John
We prove that if $K$ is a compact subset of an affine variety O = P^n - D (where D is a projective hypersuface), and if K is a compact subset of a closed analytic subvariety V \subset O, then the projective hull K^ of K has the property that K^ \cap
Externí odkaz:
http://arxiv.org/abs/0704.2849
Publikováno v:
Asterisque 322 (2008), 241-254
The projective hull X^ of a subset X in complex projective space P^n is an analogue of the classical polynomial hull of a set in C^n. If X is contained in an affine chart C^n on P^n, then the affine part of X^ is the set of points x in C^n for which
Externí odkaz:
http://arxiv.org/abs/math/0611482
Autor:
Wermer, John
Walter Rudin, in 1966, characterized analytic functions in the unit disk in terms of the maximum principle relative to the boundary. We conjecture a generalization of this result when the disk is replaced by the punctured disk, and we prove a special
Externí odkaz:
http://arxiv.org/abs/math/0611060
Autor:
Alexander, H., Wermer, John
Publikováno v:
Ann. of Math. (2) 151 (2000), no. 1, 125--150
The intersection index at a common point of two analytic varieties of complementary dimensions in $\Bbb C^n$ is positive. This observation, which has been called a ``cornerstone'' of algebraic geometry ([GH, p.~62]), is a simple consequence of the fa
Externí odkaz:
http://arxiv.org/abs/math/0008033
Publikováno v:
Proceedings of the American Mathematical Society, 2004 May 01. 132(5), 1495-1500.
Externí odkaz:
https://www.jstor.org/stable/4097229
