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The universal zeta function for curve singularities and its relation with global zeta functions [PDF]
The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to singular algebraic curves over perfect fields relate to each other.Comment ...
Moyano-Fernández, Julio José
core +5 more sources
Curve singularities with one Puiseux pair and value sets of modules over their local rings [PDF]
v3: Theorem 3.4 in v2 has been eliminated as a result of a gap in the proof. Section 3.2 in v2 has been eliminated. The rest of main results remain unchanged. General redaction has been improved. v1: Comments are very welcome! 19 pages.
Alberich Carramiñana, Maria +2 more
openaire +8 more sources
Flops and Clusters in the Homological Minimal Model Program [PDF]
Suppose that $f\colon X\to\mathrm{Spec}\, R$ is a minimal model of a complete local Gorenstein 3-fold, where the fibres of $f$ are at most one dimensional, so by [VdB1d] there is a noncommutative ring $\Lambda$ derived equivalent to $X$.
Wemyss, M.
core +2 more sources
Almost Conformal Vacua and Confinement [PDF]
Dynamics of confining vacua which appear as deformed superconformal theory with a non-Abelian gauge symmetry, is studied by taking a concrete example of the sextet vacua of ${\cal N}=2$, SU(3) gauge theory with $n_f=4$, with equal quark masses.
't Hooft +34 more
core +2 more sources
Singular projective varieties and quantization [PDF]
By the quantization condition compact quantizable Kaehler manifolds can be embedded into projective space. In this way they become projective varieties. The quantum Hilbert space of the Berezin-Toeplitz quantization (and of the geometric quantization) is
A Karabegov +12 more
core +2 more sources
Kleinian Singularities and the Ground Ring of C=1 String Theory [PDF]
We investigate the nature of the ground ring of c=1 string theory at the special A-D-E points in the c=1 moduli space associated to discrete subgroups of SU(2).
Barbón +44 more
core +3 more sources
What Is the Validity Domain of Einstein’s Equations? Distributional Solutions over Singularities and Topological Links in Geometrodynamics [PDF]
The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations.
Zafiris, Elias
core +2 more sources
Lectures on Mirror Symmetry [PDF]
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds with an emphasis on its applications e.g. for the computation of Yukawa couplings.
Hosono, S., Klemm, A., Theisen, S.
core +3 more sources
Self-dual modules over local rings of curve singularities
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 +1 more source
We define two related invariants for a $d$-dimensional local ring $(R,\mathfrak{m},k)$ called syzygy and differential symmetric signature by looking at the maximal free splitting of reflexive symmetric powers of two modules: the top dimensional syzygy ...
Brenner, Holger, Caminata, Alessio
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