Results 1 to 10 of about 343 (188)
Self-dual modules over local rings of curve singularities
Journal of Pure and Applied Algebra, 2006 Let \(R\) be the complete local ring of a reduced curve singularity with residue field of characteristic \(0\). \(R\) is called of finite self-dual type if there exist only finitely many isomorphism classes of indecomposable, self-dual, torision-free \(R\)-modules.
openaire +3 more sources
Semistable reduction of modular curves associated with maximal subgroups in prime level [PDF]
, 2021 We complete the description of semistable models for modular curves associated with maximal subgroups of $\mathrm{GL}_2 ({\mathbb F}_p )$ (for $p$ any prime, $p>5$).
PARENT, Pierre, EDIXHOVEN, Bas
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Singularities of Birational Geometry via Arcs and Differential Operators [PDF]
, 2021 We study singularities of algebraic varieties, in particular those arising in birational geometry, from several points of view. The first is that of arc schemes: arc schemes parametrize “infinitesimal curves” on a variety, and their geometry reflects ...
Mallory, Devlin
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Trace Ideals, Normalization Chains, and Endomorphism Rings [PDF]
, 2020 In this paper we consider reduced (non-normal) commutative noetherian rings R.With the help of conductor ideals and trace ideals of certain R-modules we deduce a criterion for a reflexive R-module to be closed under multiplication with scalars in an ...
Faber, E
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Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Singularities of Plane Algebraic Curves [PDF]
, 2021 Plane algebraic curves are defined as zeroes of polynomials in two variables over some given field. If a point on a plane algebraic curve has a unique tangent line passing through it, the point is called simple.
Härkönen, Robert Mattias
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The h-vector of a standard determinantal scheme [PDF]
, 2014 In this dissertation we study the h-vector of a standard determinantal scheme $X\subseteq\mathbb{P}^{n}$ via the corresponding degree matrix. We find simple formulae for the length and the last entries of the h-vector, as well as an explicit formula
Mateev, Matey
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Theta-characteristics on algebraic curves [PDF]
, 1982 The theory of theta-characteristics is developed algebraically, so that it may be applied to possibly singular and/or reducible algebraic curves. The configuration of theta-characteristics on a curve is described in terms of its singularities, with ...
Joe Harris
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Computing global dimension of endomorphism rings via ladders [PDF]
, 2016 This paper deals with computing the global dimension of endomorphism rings of maximal Cohen–Macaulay (=MCM) modules over commutative rings. Several examples are computed.
Faber, E, Ingalls, C, Doherty, B
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Complete ideals and singularities of space curves [PDF]
, 2002 We consider complete ideals supported on finite sequences of infinitely near points, in regular local rings with dimensions greater than two. We study properties of factorizations in Lipman special *-simple complete ideals.
Castellanos Peñuela, Julio Antonio +1 more
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