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On an Equivalence of Divisors on M ¯ 0 , n from Gromov-Witten Theory and Conformal Blocks. [PDF]
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Exact Analytical Solutions for Static Response of Helical Single-Walled Carbon Nanotubes Using Nonlocal Euler-Bernoulli Beam Theory. [PDF]
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Derived categories of moduli spaces of vector bundles on curves
Journal of Geometry and Physics, 2017Fix a smooth projective curve \(X\) over \(\mathbb C\) of genus \(g \geq 4\) and a degree \(1\) line bundle \(L \) on \(X\). Denote by \(M\) the moduli space of stable rank \(2\) vector bundles \(F\) on \(X\) with \(\det(F)\cong L\). Take \(\theta\) an ample line bundle on \(M\) which generates \(\mathrm{Pic}(M)\) and denote by \(E\) the Poincaré ...
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Moduli space of parabolic vector bundles on a curve
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2011Let \(X\) be a complex smooth irreducible projective curve. A cohomological criterion for a vector bundle to be semistable and a construction of moduli spaces involving this criterion was given in [\textit{G. Faltings}, J. Algebr. Geom. 2, No. 3, 507--568 (1993; Zbl 0790.14019)]. Faltings' criterion for semistability was generalized to parabolic vector
Bhosle, Usha N., Biswas, Indranil
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Moduli Spaces of Vector Bundles on Reducible Curves
American Journal of Mathematics, 1995\textit{C. S. Seshadri} [cf. ``Fibrés vectoriels sur les courbes algébriques'', Astérisque 96 (1982; Zbl 0517.14008)] defined a moduli space of torsion-free sheaves on singular curves that are semi-stable for a given polarization. These moduli spaces turn out to be reducible when the curve itself is a nodal reducible curve.
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Rational curves on moduli spaces of vector bundles
Proceedings of the Indian Academy of Sciences - Section A, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Moduli spaces of vector bundles on a real nodal curve
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020The present article concerns the Picard group of the moduli stack \(M\left( r,\xi \right)\) of vector bundles with fixed rank \(r\ge 2\) and determinant \(\xi \) over a real nodal curve. Let \(Y\) be a genus \(g\ge 2\) geometrically irreducible nodal projective algebraic curve defined over \(\mathbb{R}\). Let also \(\xi \) be a degree \(d\) line bundle
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