Results 21 to 30 of about 407 (175)
Multiplicities of irreducible theta divisors
Journal of Differential Geometry23 pages. Improved exposition.
Victor Lozovanu
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The existence of $\protect \mathbb{F}_q$-primitive points on curves using freeness
Comptes Rendus. Mathématique, 2022 Let $\mathcal{C}_Q$ be the cyclic group of order $Q$, $n$ a divisor of $Q$ and $r$ a divisor of $Q/n$. We introduce the set of $(r,n)$-free elements of $\mathcal{C}_Q$ and derive a lower bound for the number of elements $\theta \in \mathbb{F}_q$ for ...
Cohen, Stephen D. +2 more
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Superpotentials from singular divisors
Journal of High Energy Physics, 2022 We study Euclidean D3-branes wrapping divisors D in Calabi-Yau orientifold compactifications of type IIB string theory. Witten’s counting of fermion zero modes in terms of the cohomology of the structure sheaf O D $$ {\mathcal{O}}_D $$ applies when D is ...
Naomi Gendler +4 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Vanishing sums of roots of unity and the Favard length of self-similar product sets
Discrete Analysis, 2022 Vanishing sums of roots of unity and the Favard length of self-similar product sets, Discrete Analysis 2022:19, 31 pp. An important theme in geometric measure theory is the typical size of a set when it is randomly projected. For example, suppose that $
Izabella Laba, Caleb Marshall
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A note on theta divisors of stable bundles
Revista Matemática Iberoamericana, 2015 Let C be a smooth complex irreducible projective curve of genus g \geq 3 . We show that if C
BRIVIO, SONIA
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On the theta divisor of SU(r; 1) [PDF]
Nagoya Mathematical Journal, 2002 Let SU(r; 1) be the moduli space of stable vector bundles, on a smooth curve C of genus g ≥ 2, with rank r ≥ 3 and determinant OC(p), p ∈ C; let L be the generalized theta divisor on SU(r; 1). In this paper we prove that the map øL, defined by L, is a morphism and has degree 1.
Brivio, S, Verra, A
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CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM
Forum of Mathematics, Sigma, 2014 Let $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit ...
YANG AN +3 more
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A genus six cyclic tetragonal reduction of the Benney equations [PDF]
, 2009 A reduction of Benney’s equations is constructed corresponding to Schwartz–Christoffel maps associated with a family of genus six cyclic tetragonal curves.
Gibbons, J., England, M.
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The irreducible components of the primal cohomology of the theta divisor of an abelian fivefold [PDF]
, 2020 The primal cohomology $\mathbb{K}_\mathbb{Q}$ of the theta divisor $\Theta$ of a principally polarized abelian fivefold (ppav) is the direct sum of its invariant and anti-invariant parts $\mathbb{K}_\mathbb{Q}^{+1}$, resp.
Izadi, Elham, Wang, Jie
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