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simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. subelliptic multipliers; Kohn's algorithm; complex Neumann problem; pseudoconvex domains; subelliptic estimates; finite type; multiplier ideal Siu, Y.T.: Effective termination of Kohn's algorithm for subelliptic multipliers. Pure Appl. Math. Q. \textbf{6}(4):1169-1241 (2010) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Krichever correspondence; problem of Riemann-Schottky; matrix pseudo- differential operators; theta functions; generalized Jacobian; matrix KP hierarchy | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. orders; twisted Grassmann varieties; central simple algebras; Severi-Brauer schemes; regular local rings | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. invariant theory; modular group; Weyl group; root system; toroidal embedding; Jacobi forms; polynomial algebra; deformation of fat points Wirthmüller, K., Root systems and Jacobi forms, Comp. Math., 82, 293, (1992) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. compactification of the moduli space of principally polarised; abelian varieties; coarse moduli scheme; toroidal completions of Siegel moduli schemes; semi-abelian varieties; 2-adic theta functions Chai, C.-L.: Compactification of Siegel moduli schemes. London Math. Soc. Lecture Note Series, vol. 107. Cambridge University Press (1985) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. endotrivial modules; finite group schemes; Frobenius kernels; unipotent group schemes; semisimple simply connected algebraic groups; Picard groups; infinitesimal group schemes; indecomposable tilting modules Carlson, J.; Nakano, D.: Endotrivial modules for finite group schemes. J. reine angew. Math. 653, 149-178 (2011) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. global deformations of Lie algebras; Lie algebras of meromorphic vector fields on marked Riemann surfaces; cuspidal cubic; nodal cubic; current Lie algebra; Krichever-Novikov Lie algebra | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. harmonic map; harmonic torus; maps of finite type; Jacobian; dressing orbit; polynomial Killing fields McIntosh I.: The construction of all non-isotropic harmonic tori in complex projective space. Int. J. Math. 6, 831--879 (1995) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Wahl singularities; surfaces of general type; rational homology balls; symplectic embeddings; Seiberg-Witten invariants | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. reductive groups; finitely generated algebras; rings of invariants; cohomology rings; Grosshans graded rings W. van der Kallen, \textit{Cohomology with Grosshans graded coefficients}, in: \textit{Invariant Theory in All Characteristics}, H. E. A. E. Campbell, D. L. Wehlau eds., CRM Proceedings and Lecture Notes, Vol. 35 (2004), Amer. Math. Soc., Providence, RI, 2004, pp. 127-138. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite local fundamental groups; quotient variety; divisor class groups; action of linear group Kumar, S., Finiteness of local fundamental groups for quotients of affine varieties under reductive groups, Comment. Math. Helv., 68, 209-215, (1993) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. holomorphic vectorfield; foliation; topological invariants of isolated singularities of holomorphic; functions; Milnor number; desingularization; algebraic multiplicity of a generalized curve; topological invariants of isolated singularities of holomorphic functions César Camacho, Alcides Lins Neto & Paulo Sad, ``Topological invariants and equidesingularization for holomorphic vector fields'', J. Differ. Geom.20 (1984) no. 1, p. 143-174 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Bibliography; Zariski-Lipman problem. Kersken, Masumi; differential algebras; De Rham cohomology; regularity of an analytic local algebra; resolution of singularities; Rational singularities; mixed Hodge structures M. Kersken, Differentialformen in der algebraischen und analytischen Geometrie. Habilitationsschrift, Bochum 1987. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Witt algebra; Cartan type Lie algebra; nilpotent cone; restricted nilpotent cone; nilpotent commuting varieties; Borel subalgebra; cohomology of second Frobenius kernels Yao, Y-F; Chang, H., The nilpotent commuting variety of the Witt algebra, J Pure Appl Algebra, 218, 1783-1791, (2014) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. elliptic modular group; Picard modular group; imaginary quadratic field; K-singular moduli; Hilbert modular group; jacobian; class-numbers of CM-extension Feustel, J, Eine klassenzahlformel für singuläre moduln der picardschen modulgruppen, Comp. Math, 76, 87-100, (1990) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. unipotent representations; simply connected almost simple algebraic groups; Borel subgroups; Weyl groups; cuspidal representations; irreducible representations; parahoric subgroups; equivariant \(K\)-theory; Hecke algebras Lusztig, G., Classification of unipotent representations of simple \textit{p}-adic groups, Int. Math. Res. Not. (IMRN), 11, 517-589, (1995) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. vector bundles on projective surfaces; stable coherent sheaves; moduli spaces; gauge field theory; Donaldson polynomials; Seiberg-Witten invariants; Grauert-Mülich theorem; semi-stable sheaves; geometric invariant theory; conformal quantum field theory; Verlinde formula; Seiberg-Witten theory; Picard groups; determinantal line bundles; Gieseker-Maruyama moduli spaces; Donaldson-Uhlenbeck compactification; differential forms on moduli spaces of stable sheaves; birational properties Hu D.~Huybrechts and M.~Lehn. \newblock \em Geometry of moduli spaces of sheaves, Vol. E31 of \em Aspects in Mathematics. \newblock Vieweg, 1997. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. components of the moduli space; regular surfaces of general type; Chern classes; Hilbert scheme; surfaces; threefolds; codimension two M.-C. Chang, The number of components of Hilbert schemes. \textit{Internat. J. Math}. 7 (1996), 301-306. MR1395932 Zbl 0892.14006 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Procesi-Razmyslov theorem; representations of quivers; dimension vectors of representations; algebras of semi-invariants S. Fedotov, Semi-invariants of 2-representations of quivers, arXiv: 0909.4489. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. big cotangent bundle; surfaces of general type; canonical singularities | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. nondegeneracy of potentials on quivers; McKay quivers De Völcsey, L. De Thanhoffer; Den Bergh, M. Van: Explicit models for some stable categories of maximal Cohen-Macaulay modules | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. hypersurface isolated singularities; D-module; b-functions for holomorphic functions; holomorphic linear differential operators; rationality of b-functions; holonomic system; local monodromy T. Yano, ``\(b\)-functions and exponents of hypersurface isolated singularities'' in Singularities, Part 2 (Arcata, Calif., 1981) , Proc. Sympos. Pure Math. 40 , Amer. Math. Soc., Providence, 1983, 641--652. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. bi-graded structures; duality; elimination theory; generalized zero of a matrix; generator degrees; Hilbert-Burch matrix; infinitely near singularities; Koszul complex; local cohomology; linkage; matrices of linear forms; Morley forms; parametrization; rational plane curve; rational plane sextic; Rees algebra; Sylvester form; symmetric algebra 10.1016/j.jalgebra.2016.08.014 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Brauer groups of schemes; rational points; varieties over global fields Smeets, Arne, Insufficiency of the étale Brauer-Manin obstruction: towards a simply connected example, Amer. J. Math., 139, 2, 417-431, (2017) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. resolution of singularities; positive characteristic; differential operators; Rees algebras; monomial ideals. Benito, Angélica; Villamayor U., Orlando E., Monoidal transforms and invariants of singularities in positive characteristic, Compos. Math., 149, 8, 1267-1311, (2013) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. saturation rank; finite groups; infinitesimal group schemes | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. complex multiplication; transcendence; modular functions in several variables; Shimura variety; hypergeometric functions; Hilbert modular functions Hironori Shiga and Jürgen Wolfart, Criteria for complex multiplication and transcendence properties of automorphic functions, J. Reine Angew. Math. 463 (1995), 1-25. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. central division algebras; cyclic algebras; ramification; curve points; nodal points; Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. \(F\)-pure threshold; Deuring polynomial; Legendre polynomial; singularities of curves; finite fields | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. control theorems; Shimura-Taniyama-Weil conjecture; elliptic curve; modular curve; deformation rings; Hecke algebras; modular Galois representations; moduli spaces of elliptic curves; modular forms; Abelian \(\mathbb{Q}\)-curves Hida, H.: Geometric Modular Forms and Elliptic Curves, 2nd edn. World Scientific, Singapore (2012) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. simple bihyperelliptic surfaces; minimal surface of general type; Chern class; divisibility; homeomorphic but not diffeomorphic surfaces M Manetti, On some components of moduli space of surfaces of general type, Compositio Math. 92 (1994) 285 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. homotopy groups; algebraic topology of manifolds; fundamental groups; covering spaces; degeneration; monodromy; moduli spaces; elliptic surfaces; curves; surfaces; singularities M. Amram and M. Teicher, On the degeneration, regeneration and braid monodromy of the surface \(T\times T,\) Acta Appl. Math. 75 (2003), 195--270. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hodge conjecture for abelian varieties; abelian varieties of Weil type; Mumford-Tate groups; abelian variety of Weil type; abelian fourfolds; exceptional Hodge classes van Geemen B.: An introduction to the Hodge conjecture for abelian varieties, Algebraic cycles and Hodge theory, Torino 1993, Lecture Notes in Math., vol. 1594, pp. 233--252. Springer (1994) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite characteristically simple groups; mixed Beauville groups Fairbairn, BT; Pierro, E, New examples of mixed Beauville groups, J. Group Theory., 18, 761-792, (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. determinantal formula; Schubert calculus; exterior algebras; Giambelli's formula; Grassmann schemes; symmetric structures; symmetric functions; symmetrizing operators; divided difference operators; intersection theory; universal splitting algebras Laksov, D. and Thorup, A., A determinantal formula for the exterior powers of the polynomial ring, Indiana Univ. Math. J. 56 (2007), 825--845. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Gröbner bases; syzygies; resolution of singularities; monodromy; Brieskorn lattice; Tate resolution; cohomology of coherent sheaves; Beilinson monads; invariant rings; binary forms; Green's conjecture; construction of canonical curves Schreyer, F.O.: Some topics in computational algebraic geometry. In: Conference Proceedings of 'Advances in Algebra and Geometry, Hyderabad 2001, pp. 263--278 (2003) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. simple Lie algebras; nilpotent orbits; adjoint orbits; pseudo-differential operators; Weyl quantization; Killing forms; Cartan involutions; Joseph ideals; Howe pairs; star products A. Astashkevich and R. Brylinski, Exotic differential operators on complex minimal nilpotent orbits, in Advances in geometry, 19-51, Progr. Math., 172, Birkhäuser, Boston, Boston, MA, 1999. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Banach algebras of differentiable functions; homogeneous algebras of functions; classification up to a global isomorphism | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. topological classification; germ of functions; singularities | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite solvable groups; solvable radical; finite simple groups; algebraic varieties; finite fields Grunewald F., Kunyavskiĭ B., Plotkin E., Characterization of solvable groups and solvable radical, Internat. J. Algebra Comput., 2013, 23(5), 1011--1062 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Higgs bundles, Hermitian groups; Toledo invariant; Cayley correspondence Biquard, O.; García-Prada, O.; Rubio, R., Higgs bundles, Toledo invariant and the Cayley correspondence, J. Topol., 10, 795-826, (2017) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebras of differential operators; quotient singularities ------, Invariant differential operators, Proceedings of the International Congress of Mathematicians (Zürich, 1994), vol. 1, pp. 333--341, Birkhäuser, Basel, 1995. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. universal curve; rational points; fundamental groups; exact sequence; moduli stack of curves; monodromy; finite étale cover | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. method of the inverse problem; completely integrable nonlinear equations; finite-zone solutions; Landau-Lifshits equation; matrix Riemann problem; Riemann theta-functions R. F. Bikbaev and A. I. Bobenko, ''On finite-gap integration of the Landau-Lifshitz equation. X-Y-Z case,'' Preprint LOMI E-8-83, Leningrad (1983). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic sphere; affine schemes of countable type; homotopy theory of algebraic varieties | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. rationality; flasque classes; generic algebras; symplectic groups; orthogonal groups; stably rational field extensions; Noether settings; division rings of generic matrices; fields of invariants E. Beneish, Centers of generic algebras with involution, J. Algebra 294 (2005), no. 1, 41--50. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. division points of Drinfeld modules; arithmetic of function fields; class numbers; cyclotomic function fields; zeta-functions; Teichmüller characters; Artin conjecture; Artin L-series; p-adic measure; Main conjecture of Iwasawa theory; Frobenius; p-class groups; Bernoulli- Carlitz numbers Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. complex algebraic surfaces; surfaces of general type; pluricanonical maps; intersection theory; singularities; complex manifolds | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. asymptotic syzygies; higher order embedding; Hilbert scheme; derived McKay correspondence | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. characteristic \(p\); local fundamental group; normal surface singularity; type of singularities; normal Brieskorn singularities Steven Dale Cutkosky and Hema Srinivasan, Local fundamental groups of surface singularities in characteristic \?, Comment. Math. Helv. 68 (1993), no. 2, 319 -- 332. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. principal bundle; projective curve; moduli stack; generalized theta function; Strange Duality; conformal embedding of Lie algebras; space of conformal blocks Boysal, A., Pauly, C.: Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. (2009). 10.1093/imrn/rnp151 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert functions of multiplicity ideals; binary forms Weyman, J.: On Hilbert functions of multiplicity ideals. J. algebra 161, 358-369 (1993) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Langlands correspondence; \(p\)-adic Langlands program; \(p\)-adic Galois representations; locally analytic \(p\)-adic representations of \(p\)-adic general linear groups | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert schemes; orbifold Euler characteristics; irreducible components of exceptional set; superstring theory; McKay correspondence Ito, Y., Nakamura, I.: McKay correspondence and Hilbert schemes. Proc. Japan Acad. Ser. A Math. Sci., 72, 135--138 (1996) | 1 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. moduli spaces; preprojective algebras; tilting theory; McKay correspondence; Kleinian singularities Sekiya, Y.; Yamaura, K., \textit{tilting theoretical approach to moduli spaces over preprojective algebras}, Algebr. Represent. Theory, 16, 1733-1786, (2013) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. invariant Hilbert schemes T. Becker, \textit{An example of an} SL\_{}\{2\}-\textit{Hilbert scheme with multiplicities}, Transform. Groups \textbf{16} (2011), no. 4, 915-938. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic group; quotient; desingularization; Hilbert scheme R. Terpereau, \textit{Invariant Hilbert schemes and desingularizations of quotients by classical groups}, Transform. Groups \textbf{19} (2014), no. 1, 247-281. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert scheme; tautological sheaves; cohomology; smooth quasiprojective surface Scala, L, Some remarks on tautological sheaves on Hilbert schemes of points on a surface, Geom. Dedicata, 139, 313-329, (2009) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Young diagram; core; quotient; quiver variety; instanton Fujii, Sh., Minabe, S.: A combinatorial study on quiver varieties. SIGMA Symmetry Integrability Geom. Methods Appl. \textbf{13}, Art. No. 052 (2017) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. McKay correspondence; exceptional collections Ishii, A., Ueda, K.: The special McKay correspondence and exceptional collections. Tohoku Math. J. (2) \textbf{67}(4), 585-609 (2015) | 1 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Macdonald polynomials; isospectral Hilbert schemes; \(n!\)-conjecture; Macdonald positivity conjecture; subspace arrangement K.B. Alkalaev and V.A. Belavin, \textit{Conformal blocks of}\( {\mathcal{W}}_n \)\textit{Minimal Models and AGT correspondence}, arXiv:1404.7094 [INSPIRE]. | 1 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. invariant Hilbert scheme; invariant deformation Lehn, C; Terpereau, R, Invariant deformation theory of affine schemes with reductive group action, J. Pure Appl. Algebra, 219, 4168-4202, (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert scheme of \(G\)-orbits; exceptional curves; irreducible representations Ishii, A., On the mckay correspondence for a finite small subgroup of \(\operatorname{GL}(2, \mathbb{C})\), J. Reine Angew. Math., 549, 221-233, (2002), MR 1916656 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert schemes of points; tautological bundles; cohomology Scala L: Cohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles. Duke Math. J 2009,150(2):211--267. 10.1215/00127094-2009-050 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. octonions; quaternions; loop; root system P. Boddington and D. Rumynin, ''On Curtis' theorem about finite octonionic loops,'' Proc. Amer. Math. Soc. 135 (2007), 1651--1657. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. mckay correspondence; \(G\)-Hilbert scheme; quiver representations Á. Nolla de Celis, Dihedral \({G}\)-Hilb via representations of the McKay quiver , Proc. Japan Acad. Ser. A 88 (2012), 78-83. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert scheme; irreducible representations; moduli spaces Becker, T.; Terpereau, R., Moduli spaces of \((G, h)\)-constellations, Transform. Groups, 20, 2, 335-366, (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert scheme of orbits; toric geometry Craw, A., An explicit construction of the McKay correspondence for \(A\)-Hilb \({\mathbb{C}^3}\), J. Algebra, 285, 682-705, (2005) | 1 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. linear series; base-point free line bundles; effective vector bundles; multigraded linear series; summands; special McKay correspondance; pseudo-reflections; irreducible group-representations; G-Hilbert space; skew group algebra; derived equivalence; reconstruction bundle; reconstruction algebra; numerical Grothendieck group; NCCRs Craw, A., Ito, Y., Karmazyn, J.: Multigraded linear series and recollement (2017). arXiv:1701.01679 (to appear in Math. Z.) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. McKay correspondence; resolutions of terminal quotient singularities; Danilov resolution; moduli of quiver representations Kȩdzierski, O.: Danilov's resolution and representations of the mckay quiver. Tohoku math. J. (2) 66, No. 3, 355-375 (2014) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. McKay quiver; Gröbner bases; \(G\)-Hilbert scheme Craw, A.; Maclagan, D.; Thomas, R.R., Moduli of mckay quiver representations II: Gröbner basis techniques, J. algebra, 316, 2, 514-535, (2007) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. quivers; quiver representations; projective stacks; toric stacks DOI: 10.1016/j.jalgebra.2011.08.033 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert-Chow morphism; wild involutions; McKay correspondence doi:10.1007/s11512-007-0065-6 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) representation theory of finite-dimensional algebras; tame hereditary algebras; tame bimodules; noncommutative curves of genus zero; noncommutative function fields of genus zero D. Kussin, Parameter curves for the regular representations of tame bimodules, J. Algebra, 320 (2008), no. 6, 2567--2582.Zbl 1197.16017 MR 2437515 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite fields; symmetric tensor rank; algebraic function field; tower of function fields; modular curve; Shimura curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) tensor products of cyclic algebras; division algebras of prime index; division algebras over function fields; cubic divisors; central division algebras; ramification divisors; Brauer groups; exponents Michel Van den Bergh, Division algebras on \?² of odd index, ramified along a smooth elliptic curve are cyclic, Algèbre non commutative, groupes quantiques et invariants (Reims, 1995) Sémin. Congr., vol. 2, Soc. Math. France, Paris, 1997, pp. 43 -- 53 (English, with English and French summaries). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) birational classification of real rational surfaces; classification of function fields; ruled surface Silhol, R., Classification birationnelle des surfaces rationnelles réelles, 308-324, (1990), Berlin | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) tensor product of quaternion algebras; central simple algebras; orthogonal involution; Brauer-Severi variety; involution variety; function fields; generic isotropic splitting field; Brauer groups; Quillen \(K\)-theory D. Tao, ''A variety associated to an algebra with involution'',J. Algebra,168, 479--520 (1994). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Brauer groups; indecomposable division algebras; noncrossed products; ramification; function fields of smooth curves; non-crossed product central division algebras; exponents; indices; periods; tensor products of central algebras E. Brussel, K. McKinnie, and E. Tengan, Indecomposable and noncrossed product division algebras over function fields of smooth \?-adic curves, Adv. Math. 226 (2011), no. 5, 4316 -- 4337. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) division algebras; cyclic algebras; ramifications; étale cohomology; function fields of surfaces; affine schemes; Brauer groups; central algebras; fields of fractions; cyclic Galois extensions Colliot-Thélène, J.-L.: Conjectures de type local-global sur image des groupes de Chow dans la cohomologie étale. In: Algebraic K-theory (Seattle, WA, 1997), Proceedings of Symposia in Pure Mathematics, vol. 67, pp. 1-12. Amer. Math. Soc., Providence (1999) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) perfect fields; simple two-sided central vector spaces; non-commutative symmetric algebras; division rings of fractions; non-commutative surfaces Hart, J.; Nyman, A.: Duals of simple two-sided vector spaces, Comm. algebra 40, 2405-2419 (2012) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic groups; adjoint groups; R-equivalence; nondyadic local fields; function fields of curves; algebras with involution; Hermitian forms; Rost invariant R. Preeti and A. Soman, Adjoint groups over \Bbb Q_{\?}(\?) and R-equivalence, J. Pure Appl. Algebra 219 (2015), no. 9, 4254 -- 4264. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) abelian Galois extensions; relative Brauer groups; cyclic extensions; indecomposable division algebras of prime exponent; central simple algebras; Brauer class; rational function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite groups; finite simple groups; applications of simple groups; Brauer groups; Riemann surfaces; polynomials; function fields Guralnick, Robert, Applications of the classification of finite simple groups.Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. II, 163-177, (2014), Kyung Moon Sa, Seoul | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite dimensional representation; symmetric algebra; stable isomorphism; invariant fields; reductive linear groups; division algebras; function field; Brauer-Severi variety David J. Saltman, Invariant fields of linear groups and division algebras, Perspectives in ring theory (Antwerp, 1987) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 233, Kluwer Acad. Publ., Dordrecht, 1988, pp. 279 -- 297. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) two dimensional global fields; algebraic function field in one; variable over algebraic number field; Galois cohomology group; \(H^ 3\); Hasse principles; local-global principles; reduced norms; division algebras; quadratic forms; sum of squares K.~Kato, {A {H}asse principle for two dimensional global fields. With an appendix by {J}.-{L} {C}olliot-{T}hélène.}, J. Reine Angew. Math. {366} (1986), 142--180. DOI 10.1515/crll.1986.366.142; zbl 0576.12012; MR0833016 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) global deformations of Lie algebras; Lie algebras of meromorphic vector fields on marked Riemann surfaces; cuspidal cubic; nodal cubic; current Lie algebra; Krichever-Novikov Lie algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic surface in projective space; function fields of surfaces; subfields of function fields of algebraic surfaces; dominant rational maps; plane curves Lee, Y; Pirola, G, On subfields of the function field of a general surface in \({\mathbb{P}}^3\), Int. Math. Res. Not., 24, 13245-13259, (2015) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) central division algebras; cyclic algebras; ramification; curve points; nodal points; Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) graded algebras; global dimension; homogeneous coordinate rings of projective surfaces; Artin-Schelter regular algebras; skew polynomial rings; elliptic algebras D. R. Stephenson, ''Artin-Shelter regular algebras of global dimension three,'' J. Algebra, 183, No. 1, 55--73 (1996). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (1991) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) elliptic surfaces; elliptic curves over function fields; generators of Mordell-Weil group; Kodaira-Néron model; number of minimal sections; specialization homomorphisms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Cremona group; noncommutative algebras; deformation quantization of rational surfaces Usnich, Alexandr. \(Action of the Cremona group on a noncommutative ring\). Adv. Math. 228 (2011), no. 4, 1863-1893. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) skew-symmetric tensors; algebra of polynomial functions; maximal unipotent subgroups; algebras of invariants; explicit construction F. D. Grosshans, The symbolic method and representation theory, Adv. Math., to appear. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli space of marked Riemann surfaces; singular Riemann surfaces; Lie algebras of meromorphic vector fields; elliptic curves; complex tori; algebraic geometric degeneration; Riemann sphere M. Schlichenmaier, ''Degenerations of Generalized Krichever-Novikov Algebras on Tori,'' J. Math. Phys. 34, 3809--3824 (1993). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) central simple algebras; irreducible lattices; rings of invariants; function fields; normal varieties; coordinate rings; reduced traces; Cayley-Hamilton algebras; étale local classes; smooth orders Lieven Le Bruyn, ''Non-smooth algebra with smooth representation variety (asked in MathOverflow)'', | 0 |
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