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Calabi–Yau threefolds

Extremal Bundles on Calabi-Yau Threefolds

Extremal Bundles on Calabi-Yau Threefolds

... fibered Calabi-Yau threefolds we study geometric features of these bundles but leave a full account of its stability to a separate ...on threefolds is generally a difficult ...

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Extremal Bundles on Calabi-Yau Threefolds

Extremal Bundles on Calabi-Yau Threefolds

... fibered Calabi-Yau threefolds we study geometric features of these bundles but leave a full account of its stability to a separate ...on threefolds is generally a difficult ...

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New large volume Calabi-Yau threefolds

New large volume Calabi-Yau threefolds

... the Calabi- Yau threefold and are therefore directly encoded in the four- dimensional reflexive polyhedra of Kreuzer and ...inequivalent Calabi-Yau threefolds obtained therefrom is so ...

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Gorenstein formats, canonical and Calabi Yau threefolds

Gorenstein formats, canonical and Calabi Yau threefolds

... of CalabiYau ...a CalabiYau ...canonical threefolds, the Riemann–Roch contributions of singularities need not be linearly independent; for example, the ...

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Calabi–Yau threefolds and moduli of abelian surfaces I

Calabi–Yau threefolds and moduli of abelian surfaces I

... (4), p. 179. Hence, there is only one component of the ¢bre of Y 8 , and it is contained in a P 1 , which concludes the proof. & The above theorem allows us to conclude that A lev 1;8† is uniruled, but it does not show ...

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TRILINEAR FORMS AND CHERN CLASSES OF CALABI YAU THREEFOLDS

TRILINEAR FORMS AND CHERN CLASSES OF CALABI YAU THREEFOLDS

... complex threefolds is that we can reduce our questions to the theory of complex surfaces by considering linear sys- tems of ...for CalabiYau threefolds X, the second Chern class c 2 (X) and ...

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Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves

Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves

... is Calabi-Yau, as occurred in ...also Calabi-Yau and, if so, how its properties relate to those of X ...the Calabi-Yau threefolds X are very ...the ...

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Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces

Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces

... study threefolds fibred by K3 surfaces admitting a lattice polarization by a certain class of rank 19 ...smooth CalabiYau, there are only finitely many possibilities for the polarizing lattice and ...

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On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds

On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds

... of Calabi-Yau manifolds that are of particular mathematical and phys- ical interest are those that admit a genus one or elliptic fibration (an elliptic fibration is a genus one fibration with a global ...

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A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List

A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List

... toric CalabiYau threefolds in a manner that is completely self-contained within the Sage computational ...the CalabiYau data from the webpage [33], which provides an archive of this ...

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Patterns in Calabi-Yau Distributions

Patterns in Calabi-Yau Distributions

... on threefolds, resulting in six dimensional gauge theo- ries have been considered from the point of view of systematically classifying the base complex surfaces [44] and the statistics have been performed ...of ...

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Quantum periods of Calabi–Yau fourfolds

Quantum periods of Calabi–Yau fourfolds

... of CalabiYau fourfolds to open-string quantum periods of CalabiYau threefolds with branes ...in CalabiYau threefolds at large ...

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Chern-Simons: Fano and Calabi-Yau

Chern-Simons: Fano and Calabi-Yau

... for Calabi-Yau two- and threefolds are well established over the past ...and Calabi-Yau threefolds and the widest class studied therein is toric Calabi-Yau ...

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An Overview of Calabi-Yau Elliptic Fibrations

An Overview of Calabi-Yau Elliptic Fibrations

... Figure 2: The 7524 distinct Hodge number pairs for generic elliptically fibered Calabi-Yau threefolds over toric bases (dark/blue data points). Plot axes are Hodge numbers h 11 , h 21 . ...

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Calabi-Yau Geometries: Algorithms, Databases, and Physics

Calabi-Yau Geometries: Algorithms, Databases, and Physics

... compact Calabi-Yau threefolds since the initial challenge three decades ...local, Calabi-Yau threefolds which became a key player a decade after the 1980’s when AdS/CFT brought ...

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Necessary conditions on Calabi-Yau manifolds for large volume vacua

Necessary conditions on Calabi-Yau manifolds for large volume vacua

... the CalabiYau threefold landscape is richly populated by Swiss Cheese ...a CalabiYau threefold than those considered here if it is to give rise to a phenomenologically acceptable vacuum (as ...

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Lectures on D-branes, gauge theories and Calabi-Yau singularities

Lectures on D-branes, gauge theories and Calabi-Yau singularities

... for Calabi-Yau threefolds has become a favoured theme in modern geom- ...affine Calabi-Yau sin- gularities used in local mirrors have been predominantly toric varieties such as the ...

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Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds

Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds

... ON CALABI-YAU MANIFOLDS CHARLES ...for Calabi-Yau manifolds and the mirror duality between quasi-Fano varieties and Landau-Ginzburg ...a Calabi-Yau admits a so-called Tyurin ...

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Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces

Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces

... JHEP03(2016)160 4 Off-shell formalism via generalized hypergeometric system So far we have seen that the open/closed Picard-Fuchs equations for relative periods can be derived from the Griffith-Dwork method. In this ...

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Heterotic models from vector bundles on toric Calabi-Yau manifolds

Heterotic models from vector bundles on toric Calabi-Yau manifolds

... 1 Introduction Heterotic compactification has recently been met with some renewed interest and substantial de- velopment. This most traditional method of string phenomenology involves a succinct formalism in terms of ...

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