Results 31 to 40 of about 134,827 (278)
Topological transitivity of the normalized maps induced by linear operators
In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result
Pabitra Narayan Mandal
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Gromov-Witten and Welschinger invariants of del Pezzo varieties [PDF]
In this paper, we establish formulas for computing genus-$0$ Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension three by comparing to that of dimension two.
Thi-Ngoc-Anh Nguyen
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Projective complex matrix factorization for facial expression recognition
In this paper, a dimensionality reduction method applied on facial expression recognition is investigated. An unsupervised learning framework, projective complex matrix factorization (proCMF), is introduced to project high-dimensional input facial images
Viet-Hang Duong +6 more
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Note on absolute sets of rigid local systems
In this note we give a description up to a quasi-finite morphism of the absolute sets of simple cohomologically rigid local systems on a smooth complex quasi-projective algebraic variety.
Budur, Nero +2 more
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On Presented Dimensions of Modules and Rings
We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right ...
Dexu Zhou, Zhiwei Gong
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Polynomial Mappings with Small Degree
Let Xn be an affine variety of dimension n and Yn be a quasi-projective variety of the same dimension. We prove that for a quasi-finite polynomial mapping ƒ : Xn → Yn, every non-empty component of the set Yn\ ƒ (Xn) is closed and it has dimension greater
Jelonek Zbigniew
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One-dimensional super Calabi-Yau manifolds and their mirrors
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
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Nonsolidity of uniruled varieties
We give conditions for a uniruled variety of dimension at least 2 to be nonsolid. This study provides further evidence to a conjecture by Abban and Okada on the solidity of Fano 3-folds.
Livia Campo, Tiago Duarte Guerreiro
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Special homological dimensions and Intersection Theorem
Let $(R,\fm)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely generated) $R$--module with finite upper Gorenstein dimension.
Sharif, Tirdad, Yassemi, Siamak
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On Homological Dimensions of S-Acts With Unique Zero
In this paper, we introduce homological dimensions of S-acts for a commutative monoid S with a zero element and analyze their properties. We define projective (flat) dimension by means of double-arrow complexes and construct an injective resolution of an
Elahe Nafarieh Talkhooncheh +4 more
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