According to Harnack’s theorem the number of topological components of the real part of a nonsingular projective curve X defined over R is at most g(X) + 1, where g(X) is the genus of X. The purpose of the present paper is to present two estimates which can be considered analogs of Harnack’s theorem for normal surface singularities defined over R. © 1984 by Pacific Journal of Mathematics
AbstractWe determine all the possible geometric genera of curves of degree d in Pr which are not con...
We first show that the union of a projective curve with one of its extremal secant lines satisfies t...
Let a variety Vn be embedded in complex projective space of dimension m. Let PEV. About P, choose a ...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
AbstractAn old theorem of Harnack states that a symmetry of a compact Riemann surface X of genus g, ...
AbstractGiven a normal surface singularity (X,Q) and a birational morphism to a non-singular surface...
We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds fo...
In 1978 Durfee conjectured various inequalities between the signature σ and the geometric genus pg o...
We prove the “End Curve Theorem,” which states that a normal surface singularity (X, o) with rationa...
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prov...
In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We sho...
THE GOAL of this paper is to study topological and analytic invariants of a smoothing of an isolated...
We show that smooth curves in the same biliaison class on a hypersurface in $\mathbf{P}^3$ with ordi...
AbstractLet S be a surface (compact, connected and without boundary) and ƒ: S → R2 a generic smooth ...
We present a simple proof of the surface classification theorem using normal curves. This proof is a...
AbstractWe determine all the possible geometric genera of curves of degree d in Pr which are not con...
We first show that the union of a projective curve with one of its extremal secant lines satisfies t...
Let a variety Vn be embedded in complex projective space of dimension m. Let PEV. About P, choose a ...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
AbstractAn old theorem of Harnack states that a symmetry of a compact Riemann surface X of genus g, ...
AbstractGiven a normal surface singularity (X,Q) and a birational morphism to a non-singular surface...
We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds fo...
In 1978 Durfee conjectured various inequalities between the signature σ and the geometric genus pg o...
We prove the “End Curve Theorem,” which states that a normal surface singularity (X, o) with rationa...
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prov...
In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We sho...
THE GOAL of this paper is to study topological and analytic invariants of a smoothing of an isolated...
We show that smooth curves in the same biliaison class on a hypersurface in $\mathbf{P}^3$ with ordi...
AbstractLet S be a surface (compact, connected and without boundary) and ƒ: S → R2 a generic smooth ...
We present a simple proof of the surface classification theorem using normal curves. This proof is a...
AbstractWe determine all the possible geometric genera of curves of degree d in Pr which are not con...
We first show that the union of a projective curve with one of its extremal secant lines satisfies t...
Let a variety Vn be embedded in complex projective space of dimension m. Let PEV. About P, choose a ...
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