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## Uni Gàttingen, Mathematisches Institut: Homepage Mustermann

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## Algorithms in Real Algebraic Geometry

Ranganathan, A graphical interface for the Gromov-witten theory of curves H. Esnault, Some fundamental groups in arithmetic geometry L. Fargues, From local class field to the curve and vice versa M. Gross and B. Siebert, Intrinsic mirror symmetry and punctured Gromov-Witten invariants E. Katz, J. Rabinoff, and D. Zureick-Brown, Diophantine and tropical geometry, and uniformity of rational points on curves K.

Kedlaya and J. Kim, Principal bundles and reciprocity laws in number theory B. Klingler, E. For example, there are surfaces of Kodaira dimension 1 for which the Iitaka fibration is an elliptic fibration over P 1. The minimal model and abundance conjectures would imply that every variety of Kodaira dimension 0 is birational to a Calabi-Yau variety with terminal singularities.

The Iitaka conjecture states that the Kodaira dimension of a fibration is at least the sum of the Kodaira dimension of the base and the Kodaira dimension of a general fiber; see Mori for a survey. The Iitaka conjecture helped to inspire the development of minimal model theory in the s and s.

### AMS Proceedings of Symposia in Pure Mathematics (PSPUM)

It is now known in many cases, and would follow in general from the minimal model and abundance conjectures. Nakamura and Ueno proved the following additivity formula for complex manifolds Ueno Although the base space is not required to be algebraic, the assumption that all the fibers are isomorphic is very special. Even with this assumption, the formula can fail when the fiber is not Moishezon. From Wikipedia, the free encyclopedia. Chen and M. Fujino and S. Mori, J. Theorems 5.

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