Results 21 to 30 of about 181 (138)
Algorithms for curves of low genus: complex multiplication and Diedonné theory
, 2021 In this thesis we study classification problems in algebraic geometry. In the context of algebraic geometry these classification problems are called moduli problems.
Dina, Bogdan Adrian
core +1 more source
Motivic distribution of rational curves and twisted products of toric varieties
, 2023 This work concerns asymptotical stabilisation phenomena occurring in the moduli space of sections of certain algebraic families over a smooth projective curve, whenever the generic fibre of the family is a smooth projective Fano variety, or not far from ...
Faisant, Loïs
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On the Hodge conjecture for products of certain surfaces [PDF]
, 2003 In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Algebraic Structures on Moduli Spaces of Mirror Geometries
, 2021 This thesis is concerned with algebraic structures appearing on the moduli spaces of mirror geometries enhanced with differential forms. It was shown in \cite{Movasati:2012elliptic} that in the case of elliptic curves, the local structure of such moduli ...
Vogrin, Martin
core
Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
wiley +1 more source
On the geometry of moduli spaces of coherent systems on algebraic curves.
, 2007 Let C be an algebraic curve of genus g ≥ 2. A coherent system on C consists of a pair (E, V ), where E is an algebraic vector bundle over C of rank n and degree d and V is a subspace of dimension k of the space of sections of E.
García Prada, O. +4 more
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An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
wiley +1 more source
The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
On the K‐stability of blow‐ups of projective bundles
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley +1 more source