Results 11 to 20 of about 181 (138)
Universal families on moduli spaces of principal bundles on curves [PDF]
, 2006 Let H be a connected semisimple linear algebraic group defined over C and X a compact connected Riemann surface of genus at least three. Let M'X(H) be the moduli space parametrising all topologically trivial stable principal H-bundles over X whose ...
P. E. Newstead +7 more
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Wilson's map operations on regulat dessins and cyclotomic fields of definition
, 2009 Dessins d’enfants can be seen as bipartite graphs embedded in compact orientable surfaces. According to Grothendieck and others, a dessin uniquely determines a complex structure on the surface, even an algebraic structure as a projective algebraic curve ...
Streit, M. +3 more
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Algebraic curves: towards moduli spaces
, 2018 This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string ...
Lando, Sergei K +2 more
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Moduli Spaces of Topological Solitons [PDF]
, 2015 This thesis presents a detailed study of phenomena related to topological solitons (in $2$-dimensions). Topological solitons are smooth, localised, finite energy solutions in non-linear field theories.
Muhamed, Abera Ayalew
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Universal moduli of parabolic sheaves on stable marked curves
, 2011 The topic of this thesis is the moduli theory of (parabolic) sheaves on stable curves. Using geometric invariant theory (GIT), universal moduli spaces of semistable parabolic sheaves on stable marked curves are constructed: `universal' indicates that ...
Schlüeter, Dirk +3 more
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Curves of genus 2 with real multiplication by a square root of 5
, 1998 Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multiplication (RM) by $\mathbb{Q}(\sqrt{5})$, and to examine the conjecture that any abelian surface with RM by $\mathbb{Q}(\sqrt{5})$ is isogenous to a simple ...
Wilson, J.
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Extension maps and the moduli spaces of rank 2 vector bundles over an algebraic curve [PDF]
, 1997 Let SUc(2,Ʌ) be the moduli space of rank 2 vector bundles with determinant Ʌ on an algebraic curve C. This thesis investigates the properties of a rational map PU(_d,A) →(^c,d) SUc(2, A) where PU(_d,A) is a projective bundle of extensions over the ...
Gronow, Michael Justin, Gronow, M.J.
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, 2023 In algebraic geometry, it is important to provide effective parametrizations for families of curves, both in theory and in practice. In this paper, we present such an effective parametrization for the moduli of genus-$5$ curves that are neither ...
Harashita, Shushi, Kudo, Momonari
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Moduli of nodal curves on smooth surfaces of general type
, 2002 In this paper we focus on the problem of computing the number of moduli of the so called Severi varieties (denoted by V_d(|D|)), which parametrize universal families of irreducible, d -nodal curves in a complete linear system |D|, on a smooth projective ...
FLAMINI, FLAMINIO, F. Flamini
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Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves [PDF]
, 2019 Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We call a subfield k' ⊆ k‾ a plane model-field of definition for C if C descends to k' as a smooth plane curve over k', that is if there exists a smooth ...
Badr, Eslam, Bars Cortina, Francesc
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