Results 281 to 290 of about 2,524,566 (357)
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Fixed points of principal E6-bundles over a compact algebraic curve
Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2023Let X be a compact algebraic curve of genus g ≥ 2. The nontrivial outer automorphism σ of the complex Lie group E6 acts on the moduli space M(E6) of principal E6-bundles over X , and this action defines an automorphism fσ of M(E6). The group H1(X, Z (E6))
Álvaro Antón-Sancho
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2021
The starting point for algebraic geometry was the study of algebraic sets, that is the study of the locus of points satisfying a set of polynomial equations. The geometric properties of such sets are encoded inside the rings of functions that are naturally defined on such sets.
Kontogeorgis, Aristides +1 more
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The starting point for algebraic geometry was the study of algebraic sets, that is the study of the locus of points satisfying a set of polynomial equations. The geometric properties of such sets are encoded inside the rings of functions that are naturally defined on such sets.
Kontogeorgis, Aristides +1 more
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Reliable Computing, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shou, Huahao, Shen, Jie, Yoon, David
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shou, Huahao, Shen, Jie, Yoon, David
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The moduli space of stable vector bundles over a real algebraic curve
, 2009We study the spaces of stable real and quaternionic vector bundles on a real algebraic curve. The basic relationship is established with unitary representations of an extension of $${\mathbb{Z}/2}$$ by the fundamental group.
I. Biswas, J. Huisman, J. Hurtubise
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Pseudoholomorphic Algebraically Unrealizable Curves
Moscow Mathematical Journal, 2003Summary: This paper is a continuation of the article [cf. the authors, J. Reine Angew. Math. 551, 145--172 (2002; Zbl 1014.14028)]. We show that there exists a real non-singular pseudoholomorphic sextic curve in the affine plane which is not isotopic to any real algebraic sextic curve.
Orevkov, S. Yu., Shustin, E. I.
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Patchworking singular algebraic curves II
Israel Journal of Mathematics, 2006This paper is devoted to the presentation of a general patchworking procedure to construct reduced singular complex curves having prescribed singularities and belonging to a given linear system on an algebraic surface. The patchworking procedure to construct a curve \(C\) with singularities of given type on an algebraic surface \(X\) uses a reducible ...
Shustin, Eugenii, Tyomkin, Ilya
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On the gonality sequence of an algebraic curve
, 2010For any smooth irreducible projective curve X, the gonality sequence $${\{d_r \;| \; r \in \mathbb N\}}$$ is a strictly increasing sequence of positive integer invariants of X. In most known cases dr+1 is not much bigger than dr.
H. Lange, G. Martens
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1998
Abstract How should we define an algebraic curve in the plane? Nowadays, it seems natural to define it as the set of points satisfying some algebraic equation.
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Abstract How should we define an algebraic curve in the plane? Nowadays, it seems natural to define it as the set of points satisfying some algebraic equation.
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