Integrity and normality. The singular locus

1988 ◽  
pp. 64-72
Author(s):  
Winfried Bruns ◽  
Udo Vetter
Keyword(s):  
Singular Locus

scholarly journals Towards the classification of rank-r $$ \mathcal{N} $$ = 2 SCFTs. Part I. Twisted partition function and central charge formulae

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Mario Martone
Keyword(s):  
Partition Function ◽  
Central Charge ◽  
Singular Locus ◽  
Companion Paper ◽  
Coulomb Branch ◽  
Energy Limit ◽  
Superconformal Field Theories ◽  
Rank 2 ◽  
Explicit Formulae

Abstract We derive explicit formulae to compute the a and c central charges of four dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also discover general properties of the low-energy limit behavior of the flavor symmetry of $$ \mathcal{N} $$ N = 2 SCFTs which culminate with our $$ \mathcal{N} $$ N = 2 UV-IR simple flavor condition. This is done by determining precisely the relation between the integrand of the partition function of the topologically twisted version of the 4d $$ \mathcal{N} $$ N = 2 SCFTs and the singular locus of their Coulomb branches. The techniques developed here are extensively applied to many rank-2 SCFTs, including new ones, in a companion paper.This manuscript is dedicated to the memory of Rayshard Brooks, George Floyd, Breonna Taylor and the countless black lives taken by US police forces and still awaiting justice. Our hearts are with our colleagues of color who suffer daily the consequences of this racist world.

Nil-Hecke Ring and the Singular Locus of X(w)

2000 ◽  
pp. 91-102
Author(s):  
Sara Billey ◽  
V. Lakshmibai
Keyword(s):  
Singular Locus

5. The singular locus of the surface S’ and the scroll $\mathcal{T}$

2004 ◽  
pp. 35-45
Author(s):  
Trygve Johnsen ◽  
Andreas Leopold Knutsen
Keyword(s):  
Singular Locus

Singular Locus of a Schubert Variety in the Flag Variety SL n /B

2009 ◽  
pp. 225-231
Author(s):  
V. Lakshmibai ◽  
Justin Brown
Keyword(s):  
Schubert Variety ◽  
Singular Locus ◽  
Flag Variety

Singular Locus of a Schubert Variety in the Flag Variety SLn/B

2018 ◽  
pp. 187-192
Author(s):  
V. Lakshmibai ◽  
Justin Brown
Keyword(s):  
Schubert Variety ◽  
Singular Locus ◽  
Flag Variety

On the geometry of the singular locus of a codimension one foliation in $\mathbb P^n$

2019 ◽  
Vol 35 (3) ◽  
pp. 857-876
Author(s):  
Omegar Calvo-Andrade ◽  
Ariel Molinuevo ◽  
Federico Quallbrunn
Keyword(s):  
Singular Locus ◽  
Codimension One

Equisymmetric strata of the singular locus of the moduli space of Riemann surfaces of genus 4

2013 ◽  
pp. 120-138 ◽  
Author(s):  
Antonio F. Costa ◽  
Milagros Izquierdo
Keyword(s):  
Moduli Space ◽  
Riemann Surfaces ◽  
Singular Locus

scholarly journals The triangular spectrum of matrix factorizations is the singular locus

2016 ◽  
Vol 144 (8) ◽  
pp. 3283-3290 ◽  
Author(s):  
Xuan Yu
Keyword(s):  
Singular Locus ◽  
Matrix Factorizations

scholarly journals Manin's conjecture for certain biprojective hypersurfaces

2016 ◽  
Vol 2016 (714) ◽  
Author(s):  
Damaris Schindler
Keyword(s):  
Circle Method ◽  
Height Function ◽  
Singular Locus ◽  
Rational Points ◽  
Large Dimension ◽  
Side Length ◽  
Asymptotic Formulas ◽  
Complete Intersections ◽  
Integer Points ◽  
Manin’S Conjecture

AbstractUsing the circle method, we count integer points on complete intersections in biprojective space in boxes of different side length, provided the number of variables is large enough depending on the degree of the defining equations and certain loci related to the singular locus. Having established these asymptotics we deduce asymptotic formulas for rational points on such varieties with respect to the anticanonical height function. In particular, we establish a conjecture of Manin for certain smooth hypersurfaces in biprojective space of sufficiently large dimension.

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