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5 papers · 2 filters
Looking for rational curves on cubic hypersurfaces
János Kollár, Ulrich Derenthal
These are the substantially expanded notes of the lectures of JK at the summer school "Higher-Dimensional Geometry over Finite Fields" in Göttingen, June 2007. The first part gives…
Products of Brauer Severi surfaces
Amit Hogadi
Let and be two collections of Brauer Severi surfaces (resp. conics) over a field . We show that the subgroup generated by…
Two examples of surfaces with normal crossing singularities
János Kollár
This note gives two examples of surfaces with normal crossing singularities. In the first example the canonical ring is not finitely generated. In the second, the canonical line bu…
Enumerative geometry of Calabi-Yau 4-folds
A. Klemm, R. Pandharipande
Gromov-Witten theory is used to define an enumerative geometry of curves in Calabi-Yau 4-folds. The main technique is to find exact solutions to moving multiple cover integrals. Th…
Singularities of the theta divisor at points of order two
Samuel Grushevsky, Riccardo Salvati Manni
In this note we study the geometry of principally polarized abelian varieties (ppavs) with a vanishing theta-null (i.e. with a singular point of order two and even multiplicity lyi…