Results 21 to 30 of about 11,355 (303)
Noncommutative K3 surfaces [PDF]
Physics Letters B, 2002 We consider deformations of a toroidal orbifold $T^4/Z_2$ and an orbifold of quartic in $CP^3$. In the $T^4/Z_2$ case, we construct a family of noncommutative K3 surfaces obtained via both complex and noncommutative deformations. We do this following the line of algebraic deformation done by Berenstein and Leigh for the Calabi-Yau threefold.
Kim, Hoil, Lee, Chang-Yeong
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Zero cycles on the moduli space of curves [PDF]
Épijournal de Géométrie Algébrique, 2020 While the Chow groups of 0-dimensional cycles on the moduli spaces of Deligne-Mumford stable pointed curves can be very complicated, the span of the 0-dimensional tautological cycles is always of rank 1.
Rahul Pandharipande, Johannes Schmitt
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Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]
Épijournal de Géométrie Algébrique, 2020 We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces ...
Lothar Göttsche
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Structure of stable degeneration of K3 surfaces into pairs of rational elliptic surfaces
Journal of High Energy Physics, 2018 F-theory/heterotic duality is formulated in the stable degeneration limit of a K3 fibration on the F-theory side. In this note, we analyze the structure of the stable degeneration limit. We discuss whether stable degeneration exists for pairs of rational
Yusuke Kimura
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On K3 Surface Quotients of K3 or Abelian Surfaces [PDF]
Canadian Journal of Mathematics, 2017 Abstract The aim of this paper is to prove that a K3 surface is the minimal model of the quotient of an Abelian surface by a group G (respectively of a K3 surface by an Abelian group G) if and only if a certain lattice is primitively embedded in its Néron-Severi group.
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Journal of High Energy Physics, 2018 We constructed several families of elliptic K3 surfaces with Mordell-Weil groups of ranks from 1 to 4. We studied F-theory compactifications on these elliptic K3 surfaces times a K3 surface.
Yusuke Kimura
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Mathematische Zeitschrift, 2014 We study the geometry of Büchi's K3 surface showing that the rational points of this surface are Zariski-dense.
Artebani, Michela +2 more
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The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]
, 2010 We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
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Umbral Moonshine and K3 Surfaces [PDF]
Communications in Mathematical Physics, 2015 Recently, 23 cases of umbral moonshine, relating mock modular forms and finite groups, have been discovered in the context of the 23 even unimodular Niemeier lattices. One of the 23 cases in fact coincides with the so-called Mathieu moonshine, discovered in the context of K3 non-linear sigma models. In this paper we establish a uniform relation between
Cheng, M.C.N., Harrison, S.
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$G$-fixed Hilbert schemes on $K3$ surfaces, modular forms, and eta products [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be a complex $K3$ surface with an effective action of a group $G$ which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorname{Hilb}^{n}(X)^{G} \right)\, q^{n-1} $$ be the generating function for ...
Jim Bryan, Ádám Gyenge
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