## 213 Citations

### On the Hodge structure of elliptically fibered

- Mathematics
- 2012

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

- Mathematics
- 2015

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

- Mathematics
- 2012

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

- Mathematics
- 2015

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

- Mathematics
- 2013

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

- MathematicsInternational Journal of Mathematics
- 2022

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…

### Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory

- Mathematics
- 2022

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…

### The making of Calabi‐Yau spaces: Beyond toric hypersurfaces

- Mathematics
- 2009

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

- Mathematics, Physics
- 2013

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…

## References

SHOWING 1-10 OF 14 REFERENCES

### Minimal Models of Canonical 3-Folds

- Mathematics
- 1983

§-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

- Mathematics
- 1966

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

- MathematicsNagoya 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…

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

- Mathematics
- 1975

© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1975, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.…

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

- Mathematics
- 1985

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

- Mathematics
- 1969

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

- MathematicsProceedings 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…