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

@article{Reid1987TheMS,
  title={The moduli space of 3-folds withK=0 may nevertheless be irreducible},
  author={Miles Anthony Reid},
  journal={Mathematische Annalen},
  year={1987},
  volume={278},
  pages={329-334}
}
  • M. Reid
  • Published 1 March 1987
  • Mathematics
  • Mathematische Annalen
View on Springer
223 Citations
Highly Influential Citations
15
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Methods Citations
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Results Citations
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223 Citations

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References

SHOWING 1-10 OF 14 REFERENCES

Minimal Models of Canonical 3-Folds

§-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 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…

Homological equivalence, modulo algebraic equivalence, is not finitely generated

© Publications mathématiques de l’I.H.É.S., 1983, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://…

Classification problems in differential topology. V

Algebraization of Formal Moduli: II. Existence of Modifications