The moduli space of 3-folds withK=0 may nevertheless be irreducible

  title={The moduli space of 3-folds withK=0 may nevertheless be irreducible},
  author={Miles Anthony Reid},
  journal={Mathematische Annalen},
  • M. Reid
  • Published 1 March 1987
  • Mathematics
  • Mathematische Annalen

On the Hodge structure of elliptically fibered

The Hodge numbers of generic elliptically fibered Calabi-Yau threefolds over toric base surfaces fill out the “shield” structure previously identified by Kreuzer and Skarke. The connectivity

Deforming geometric transitions

After a quick review of the wild structure of the complex moduli space of Calabi-Yau 3-folds and the role of geometric transitions in this context (the Calabi-Yau web) the concept of deformation

On the Hodge structure of elliptically fibered Calabi-Yau threefolds

A bstractThe Hodge numbers of generic elliptically fibered Calabi-Yau threefolds over toric base surfaces fill out the “shield” structure previously identified by Kreuzer and Skarke. The connectivity

Topological string on elliptic CY 3-folds and the ring of Jacobi forms

A bstractWe give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi-Yau manifolds can be written in terms of meromorphic Jacobi forms whose

Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories

A bstractWe discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in

Type III contractions and quintic threefolds

We study type III contractions of Calabi–Yau threefolds containing a ruled surface over a smooth curve. We discuss the conditions necessary for the image threefold to be smoothable. We describe the

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Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in explor-ing the intricate and interconnected vacuum structure of string compactifications. However, their role in

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While Calabi‐Yau hypersurfaces in toric ambient spaces provide a huge number of examples, theoretical considerations as well as applications to string phenomenology often suggest a broader

Matter from Toric Geometry and its Search at the LHC

Toric geometry is applied for construction the enhanced gauge groups in F-theory compactified on elliptic Calabi-Yau fourfolds. The Hodge numbers calculated from the polyhedra for the chain H = SU



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§-oo. Abstract This paper introduces a temporary definition of minimal models of 3-folds (0.7), and studies these under extra hypotheses. The main result is Theorem (0.6), in which I characterise the

Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen

A windshield wiper blade liner made from a substantially non-wettable synthetic polymeric material which is pre-stressed to snap onto a wiper blade. The liner is formed with a V-shaped wiper section

Families of K-3 Surfaces

  • A. Mayer
  • Mathematics
    Nagoya Mathematical Journal
  • 1972
Let V be a 2-dimensional compact complex manifold. V is called a K-3 surface if : a) the irregularity q = dim H1(V, θ) of V vanishes and b) the first Chern class c1 of V vanishes. The canonical sheaf

Über Modifikationen und exzeptionelle analytische Mengen

On the Torelli problem for kählerian $K-3$ surfaces

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On the Noether-Lefschetz theorem and some remarks on codimension-two cycles

Here, "of general moduli" means that there is a countable union V of subvarieties of the space pN of surfaces of degree d in p3, such that the statement Pie(S) = Z holds for S ~ p N _ V. Noether, it

On the Periods of Certain Rational Integrals: II

In this section we want to re-prove the results of ?? 4 and 8 using sheaf cohomology. One reason for doing this is to clarify the discussion in those paragraphs and, in particular, to show how

On analytic surfaces with double points

  • M. Atiyah
  • Mathematics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1958
It is shown that the non-singular model of an algebraic surface, lying in complex projective 3-space and possessing only ordinary double points, is differentiably homeomorphic to any non-singular