Results 61 to 70 of about 477 (118)
k-spaces of non-domain-valued geometric points
Applied General TopologyThe aim of this paper is to study the topological properties of algebraic sets with zero divisors. We impose a subbasic topology on the set of proper ideals of a k-algebra and this new “k-space” becomes a generalization of the corresponding Zariski space.
Amartya Goswami
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The moduli problem for plane branches
, 2006 Moduli problems in algebraic geometry date back to Riemann's famous count of the 3g-3 parameters needed to determine a curve of genus g. In this book, Zariski studies the moduli space of curves of the same equisingularity class.
Oscar Zariski, Zariski, Oscar
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A Zariski topology for semimodules
, 2011 0Given a very strong multiplication semimidule M over a commutative semiring R, a Zariski topology is defined on the spectrum $Spec _k$(M) of prime k-subsemimodules of M. The properties and possible structures of this topology are studied.
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An arithmetic Zariski 4–tuple of twelve lines
, 2016 Using the invariant developed by E Artal, V Florens and the author, we differentiate four arrangements with the same combinatorial information but in different deformation classes.
Guerville-Ballé, Benoît
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Torsion divisors of plane curves and Zariski pairs
, 2022 In this paper we study the embedded topology of reducible plane curves having a smooth irreducible component. In previous studies, the relation between the topology and certain torsion classes in the Picard group of degree zero of the smooth component ...
Shirane, T. +5 more
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The Zariski spectrum of the category of finitely presented modules [PDF]
, 2008 A representation-theoretic description of the Zariski spectrum of a commutative noetherian ring is applied to more general categories, giving the "Gabriel-Zariski" spectrum.
Prest, Mike
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On the Zariski dense orbit conjecture
, 2021 We prove the following theorem. Let f be a dominant endomorphism of a projective surface over an algebraically closed field of characteristic 0. If there is no nonconstant invariant rational function under f, then there exists a closed point whose orbit ...
Xie, Junyi
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On the Zariski topology over an LL-module M
, 2017 0: Let L be a multiplicative lattice and M be an L-module. In this study, we present a topology said to be the Zariski topology over σ(M), the collection of all prime elements of an L-module M.
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Zariski closures and subgroup separability [PDF]
, 2017 The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generated subgroup, there is a finite dimensional representation of the free or ...
Priyam Patel +5 more
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The Zariski Topology on the Prime Spectrum of a Module over Noncommutative Rings
, 2009 Let R be an associative ring with identity and M an R-module. Let Spec(M) be the set of all prime submodules of M.
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