scholarly journals Real points of coarse moduli schemes of vector bundles on a real algebraic curve

2012 ◽  
Vol 10 (4) ◽  
pp. 503-534 ◽  
Author(s):  
Florent Schaffhauser
Keyword(s):  
Algebraic Curve ◽  
Vector Bundles ◽  
Real Algebraic Curve

scholarly journals The moduli space of stable vector bundles over a real algebraic curve

2009 ◽  
Vol 347 (1) ◽  
pp. 201-233 ◽  
Author(s):  
Indranil Biswas ◽  
Johannes Huisman ◽  
Jacques Hurtubise
Keyword(s):  
Moduli Space ◽  
Algebraic Curve ◽  
Vector Bundles ◽  
Stable Vector Bundles ◽  
Real Algebraic Curve

Super Real Algebraic Curve

2004 ◽  
pp. 396-396
Author(s):  
Yolanda Lozano ◽  
Steven Duplij ◽  
Malte Henkel ◽  
Malte Henkel ◽  
Euro Spallucci ◽  
...  
Keyword(s):  
Algebraic Curve ◽  
Real Algebraic Curve

scholarly journals Moduli spaces of orthogonal and symplectic bundles over an algebraic curve

2008 ◽  
Vol 144 (3) ◽  
pp. 721-733 ◽  
Author(s):  
Olivier Serman
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Algebraic Curve ◽  
Vector Bundles ◽  
Explicit Description ◽  
Representation Space ◽  
Classical Groups ◽  
Projective Curve ◽  
Smooth Projective Curve ◽  
Polynomial Invariants

AbstractWe prove that, given a smooth projective curve C of genus g≥2, the forgetful morphism $\mathcal {M}_{\mathbf {O}_r} \longrightarrow \mathcal {M}_{\mathbf {GL}_r}$ (respectively $\mathcal M_{\mathbf {Sp}_{2r}}\longrightarrow \mathcal M_{\mathbf {GL}_{2r}}$) from the moduli space of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles over C is an embedding. Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups.

scholarly journals The topological configuration of a real algebraic curve

1991 ◽  
Vol 43 (1) ◽  
pp. 37-50 ◽  
Author(s):  
Takis Sakkalis
Keyword(s):  
Morse Theory ◽  
Algebraic Curve ◽  
Running Time ◽  
Real Algebraic Curve ◽  
Maximum Coefficient ◽  
Topological Configuration

This paper presents an algorithm, motivated by Morse Theory, for the topological configuration of the components of a real algebraic curve {f(x, y) = 0}. The running time of the algorithm is O(n12 (d + log n)2 log n), where n, d are the degree and maximum coefficient size of f(x, y).

scholarly journals Principal bundles over a real algebraic curve

2012 ◽  
Vol 20 (5) ◽  
pp. 957-988 ◽  
Author(s):  
Indranil Biswas ◽  
Jacques Hurtubise
Keyword(s):  
Algebraic Curve ◽  
Principal Bundles ◽  
Real Algebraic Curve

On the multiplicative structure of sections of vector bundles on an algebraic curve

1996 ◽  
Vol 120 (4) ◽  
pp. 643-645
Author(s):  
E. Ballico
Keyword(s):  
Lower Bounds ◽  
Algebraic Curve ◽  
Vector Bundles ◽  
General Setting ◽  
Vector Spaces ◽  
Projective Curve ◽  
Multiplicative Structure ◽  
Smooth Projective Curve

AbstractHere we study (in a more general setting) the following problem. Let C be a smooth projective curve, E and F vector bundles on C and V ⊆ H0 (C, E) (resp. W ⊆ H0 (C, F)) vector spaces generically spanning E (resp. F); find lower bounds for the dimension of the image of the multiplication map V ⊗ W → H0 (C, E ⊗ F) generalizing the case rank(E) = rank(F) = 1.

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